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Finding the Fourth Proportional to 3,657.66, 5,044.11 and 2,538.78

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Solution

The fourth proportional to 3,657.66, 5,044.11 and 2,538.78 is: 3,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.66 : 5,044.11 = 2,538.78 : x
  2. Step 2: Convert to fraction form
    3,657.66/5,044.11 = 2,538.78/x
  3. Step 3: Cross multiply
    3,657.66x = 5,044.11 × 2,538.78
  4. Step 4: Simplify right side
    3,657.66x = 12,805,885.59
  5. Step 5: Solve for x
    x = 12,805,885.59/3,657.66
  6. Step 6: Final answer
    x = 3,501.11

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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.