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Finding the Fourth Proportional to 3,897.99, 5,843.50 and 1,432.23

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Solution

The fourth proportional to 3,897.99, 5,843.50 and 1,432.23 is: 2,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.99 : 5,843.50 = 1,432.23 : x
  2. Step 2: Convert to fraction form
    3,897.99/5,843.50 = 1,432.23/x
  3. Step 3: Cross multiply
    3,897.99x = 5,843.50 × 1,432.23
  4. Step 4: Simplify right side
    3,897.99x = 8,369,228.84
  5. Step 5: Solve for x
    x = 8,369,228.84/3,897.99
  6. Step 6: Final answer
    x = 2,147.07

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.