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Finding the Fourth Proportional to 3,502.38, 5,254.32 and 1,037.38

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Solution

The fourth proportional to 3,502.38, 5,254.32 and 1,037.38 is: 1,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.38 : 5,254.32 = 1,037.38 : x
  2. Step 2: Convert to fraction form
    3,502.38/5,254.32 = 1,037.38/x
  3. Step 3: Cross multiply
    3,502.38x = 5,254.32 × 1,037.38
  4. Step 4: Simplify right side
    3,502.38x = 5,450,726.48
  5. Step 5: Solve for x
    x = 5,450,726.48/3,502.38
  6. Step 6: Final answer
    x = 1,556.29

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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.