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Finding the Fourth Proportional to 4,167.71, 5,750.47 and 2,489.66

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Solution

The fourth proportional to 4,167.71, 5,750.47 and 2,489.66 is: 3,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.71 : 5,750.47 = 2,489.66 : x
  2. Step 2: Convert to fraction form
    4,167.71/5,750.47 = 2,489.66/x
  3. Step 3: Cross multiply
    4,167.71x = 5,750.47 × 2,489.66
  4. Step 4: Simplify right side
    4,167.71x = 14,316,715.14
  5. Step 5: Solve for x
    x = 14,316,715.14/4,167.71
  6. Step 6: Final answer
    x = 3,435.15

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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.