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Finding the Fourth Proportional to 3,734.43, 5,592.69 and 2,171.13

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Solution

The fourth proportional to 3,734.43, 5,592.69 and 2,171.13 is: 3,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.43 : 5,592.69 = 2,171.13 : x
  2. Step 2: Convert to fraction form
    3,734.43/5,592.69 = 2,171.13/x
  3. Step 3: Cross multiply
    3,734.43x = 5,592.69 × 2,171.13
  4. Step 4: Simplify right side
    3,734.43x = 12,142,457.04
  5. Step 5: Solve for x
    x = 12,142,457.04/3,734.43
  6. Step 6: Final answer
    x = 3,251.49

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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.