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Finding the Fourth Proportional to 3,502.10, 5,251.94 and 1,036.27

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Solution

The fourth proportional to 3,502.10, 5,251.94 and 1,036.27 is: 1,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.10 : 5,251.94 = 1,036.27 : x
  2. Step 2: Convert to fraction form
    3,502.10/5,251.94 = 1,036.27/x
  3. Step 3: Cross multiply
    3,502.10x = 5,251.94 × 1,036.27
  4. Step 4: Simplify right side
    3,502.10x = 5,442,396.42
  5. Step 5: Solve for x
    x = 5,442,396.42/3,502.10
  6. Step 6: Final answer
    x = 1,554.04

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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.