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Finding the Fourth Proportional to 3,677.70, 5,516.55 and 2,511.30

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Solution

The fourth proportional to 3,677.70, 5,516.55 and 2,511.30 is: 3,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.70 : 5,516.55 = 2,511.30 : x
  2. Step 2: Convert to fraction form
    3,677.70/5,516.55 = 2,511.30/x
  3. Step 3: Cross multiply
    3,677.70x = 5,516.55 × 2,511.30
  4. Step 4: Simplify right side
    3,677.70x = 13,853,712.02
  5. Step 5: Solve for x
    x = 13,853,712.02/3,677.70
  6. Step 6: Final answer
    x = 3,766.95

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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.