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Finding the Fourth Proportional to 6,502.59, 8,972.31 and 3,670.02

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Solution

The fourth proportional to 6,502.59, 8,972.31 and 3,670.02 is: 5,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.59 : 8,972.31 = 3,670.02 : x
  2. Step 2: Convert to fraction form
    6,502.59/8,972.31 = 3,670.02/x
  3. Step 3: Cross multiply
    6,502.59x = 8,972.31 × 3,670.02
  4. Step 4: Simplify right side
    6,502.59x = 32,928,557.15
  5. Step 5: Solve for x
    x = 32,928,557.15/6,502.59
  6. Step 6: Final answer
    x = 5,063.91

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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.