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Finding the Fourth Proportional to 3,897.12, 5,835.48 and 3,113.52

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Solution

The fourth proportional to 3,897.12, 5,835.48 and 3,113.52 is: 4,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.12 : 5,835.48 = 3,113.52 : x
  2. Step 2: Convert to fraction form
    3,897.12/5,835.48 = 3,113.52/x
  3. Step 3: Cross multiply
    3,897.12x = 5,835.48 × 3,113.52
  4. Step 4: Simplify right side
    3,897.12x = 18,168,883.69
  5. Step 5: Solve for x
    x = 18,168,883.69/3,897.12
  6. Step 6: Final answer
    x = 4,662.13

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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.