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Finding the Fourth Proportional to 3,502.53, 5,253.95 and 1,037.29

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Solution

The fourth proportional to 3,502.53, 5,253.95 and 1,037.29 is: 1,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.53 : 5,253.95 = 1,037.29 : x
  2. Step 2: Convert to fraction form
    3,502.53/5,253.95 = 1,037.29/x
  3. Step 3: Cross multiply
    3,502.53x = 5,253.95 × 1,037.29
  4. Step 4: Simplify right side
    3,502.53x = 5,449,869.80
  5. Step 5: Solve for x
    x = 5,449,869.80/3,502.53
  6. Step 6: Final answer
    x = 1,555.98

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Why These Related Problems?

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