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Finding the Fourth Proportional to 3,502.29, 5,253.57 and 1,310.61

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Solution

The fourth proportional to 3,502.29, 5,253.57 and 1,310.61 is: 1,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.29 : 5,253.57 = 1,310.61 : x
  2. Step 2: Convert to fraction form
    3,502.29/5,253.57 = 1,310.61/x
  3. Step 3: Cross multiply
    3,502.29x = 5,253.57 × 1,310.61
  4. Step 4: Simplify right side
    3,502.29x = 6,885,381.38
  5. Step 5: Solve for x
    x = 6,885,381.38/3,502.29
  6. Step 6: Final answer
    x = 1,965.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.