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Finding the Fourth Proportional to 6,502.55, 8,972.97 and 3,669.77

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Solution

The fourth proportional to 6,502.55, 8,972.97 and 3,669.77 is: 5,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.55 : 8,972.97 = 3,669.77 : x
  2. Step 2: Convert to fraction form
    6,502.55/8,972.97 = 3,669.77/x
  3. Step 3: Cross multiply
    6,502.55x = 8,972.97 × 3,669.77
  4. Step 4: Simplify right side
    6,502.55x = 32,928,691.25
  5. Step 5: Solve for x
    x = 32,928,691.25/6,502.55
  6. Step 6: Final answer
    x = 5,063.97

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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.