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Finding the Fourth Proportional to 6,502.20, 8,974.20 and 3,850.92

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Solution

The fourth proportional to 6,502.20, 8,974.20 and 3,850.92 is: 5,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.20 : 8,974.20 = 3,850.92 : x
  2. Step 2: Convert to fraction form
    6,502.20/8,974.20 = 3,850.92/x
  3. Step 3: Cross multiply
    6,502.20x = 8,974.20 × 3,850.92
  4. Step 4: Simplify right side
    6,502.20x = 34,558,926.26
  5. Step 5: Solve for x
    x = 34,558,926.26/6,502.20
  6. Step 6: Final answer
    x = 5,314.96

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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.