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Finding the Fourth Proportional to 3,766.57, 5,622.32 and 3,488.63

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Solution

The fourth proportional to 3,766.57, 5,622.32 and 3,488.63 is: 5,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.57 : 5,622.32 = 3,488.63 : x
  2. Step 2: Convert to fraction form
    3,766.57/5,622.32 = 3,488.63/x
  3. Step 3: Cross multiply
    3,766.57x = 5,622.32 × 3,488.63
  4. Step 4: Simplify right side
    3,766.57x = 19,614,174.83
  5. Step 5: Solve for x
    x = 19,614,174.83/3,766.57
  6. Step 6: Final answer
    x = 5,207.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.