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Finding the Fourth Proportional to 3,713.52, 5,122.98 and 2,386.74

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Solution

The fourth proportional to 3,713.52, 5,122.98 and 2,386.74 is: 3,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.52 : 5,122.98 = 2,386.74 : x
  2. Step 2: Convert to fraction form
    3,713.52/5,122.98 = 2,386.74/x
  3. Step 3: Cross multiply
    3,713.52x = 5,122.98 × 2,386.74
  4. Step 4: Simplify right side
    3,713.52x = 12,227,221.29
  5. Step 5: Solve for x
    x = 12,227,221.29/3,713.52
  6. Step 6: Final answer
    x = 3,292.62

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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.