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Finding the Fourth Proportional to 3,502.28, 5,252.52 and 1,310.96

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Solution

The fourth proportional to 3,502.28, 5,252.52 and 1,310.96 is: 1,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.28 : 5,252.52 = 1,310.96 : x
  2. Step 2: Convert to fraction form
    3,502.28/5,252.52 = 1,310.96/x
  3. Step 3: Cross multiply
    3,502.28x = 5,252.52 × 1,310.96
  4. Step 4: Simplify right side
    3,502.28x = 6,885,843.62
  5. Step 5: Solve for x
    x = 6,885,843.62/3,502.28
  6. Step 6: Final answer
    x = 1,966.10

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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.