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Finding the Fourth Proportional to 6,472.80, 8,931.89 and 3,640.34

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Solution

The fourth proportional to 6,472.80, 8,931.89 and 3,640.34 is: 5,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.80 : 8,931.89 = 3,640.34 : x
  2. Step 2: Convert to fraction form
    6,472.80/8,931.89 = 3,640.34/x
  3. Step 3: Cross multiply
    6,472.80x = 8,931.89 × 3,640.34
  4. Step 4: Simplify right side
    6,472.80x = 32,515,147.87
  5. Step 5: Solve for x
    x = 32,515,147.87/6,472.80
  6. Step 6: Final answer
    x = 5,023.35

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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.