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Finding the Fourth Proportional to 5,557.71, 7,669.65 and 3,167.61

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Solution

The fourth proportional to 5,557.71, 7,669.65 and 3,167.61 is: 4,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.71 : 7,669.65 = 3,167.61 : x
  2. Step 2: Convert to fraction form
    5,557.71/7,669.65 = 3,167.61/x
  3. Step 3: Cross multiply
    5,557.71x = 7,669.65 × 3,167.61
  4. Step 4: Simplify right side
    5,557.71x = 24,294,460.04
  5. Step 5: Solve for x
    x = 24,294,460.04/5,557.71
  6. Step 6: Final answer
    x = 4,371.31

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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.