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Finding the Fourth Proportional to 5,677.87, 8,516.26 and 1,781.59

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Solution

The fourth proportional to 5,677.87, 8,516.26 and 1,781.59 is: 2,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.87 : 8,516.26 = 1,781.59 : x
  2. Step 2: Convert to fraction form
    5,677.87/8,516.26 = 1,781.59/x
  3. Step 3: Cross multiply
    5,677.87x = 8,516.26 × 1,781.59
  4. Step 4: Simplify right side
    5,677.87x = 15,172,483.65
  5. Step 5: Solve for x
    x = 15,172,483.65/5,677.87
  6. Step 6: Final answer
    x = 2,672.21

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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.