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Finding the Fourth Proportional to 4,171.54, 5,755.86 and 2,402.68

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Solution

The fourth proportional to 4,171.54, 5,755.86 and 2,402.68 is: 3,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.54 : 5,755.86 = 2,402.68 : x
  2. Step 2: Convert to fraction form
    4,171.54/5,755.86 = 2,402.68/x
  3. Step 3: Cross multiply
    4,171.54x = 5,755.86 × 2,402.68
  4. Step 4: Simplify right side
    4,171.54x = 13,829,489.70
  5. Step 5: Solve for x
    x = 13,829,489.70/4,171.54
  6. Step 6: Final answer
    x = 3,315.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.