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Finding the Fourth Proportional to 3,657.74, 5,479.31 and 2,781.72

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Solution

The fourth proportional to 3,657.74, 5,479.31 and 2,781.72 is: 4,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.74 : 5,479.31 = 2,781.72 : x
  2. Step 2: Convert to fraction form
    3,657.74/5,479.31 = 2,781.72/x
  3. Step 3: Cross multiply
    3,657.74x = 5,479.31 × 2,781.72
  4. Step 4: Simplify right side
    3,657.74x = 15,241,913.17
  5. Step 5: Solve for x
    x = 15,241,913.17/3,657.74
  6. Step 6: Final answer
    x = 4,167.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.