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Finding the Fourth Proportional to 5,897.70, 8,845.97 and 2,002.05

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Solution

The fourth proportional to 5,897.70, 8,845.97 and 2,002.05 is: 3,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.70 : 8,845.97 = 2,002.05 : x
  2. Step 2: Convert to fraction form
    5,897.70/8,845.97 = 2,002.05/x
  3. Step 3: Cross multiply
    5,897.70x = 8,845.97 × 2,002.05
  4. Step 4: Simplify right side
    5,897.70x = 17,710,064.23
  5. Step 5: Solve for x
    x = 17,710,064.23/5,897.70
  6. Step 6: Final answer
    x = 3,002.88

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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.