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Finding the Fourth Proportional to 3,502.96, 5,255.46 and 1,037.84

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Solution

The fourth proportional to 3,502.96, 5,255.46 and 1,037.84 is: 1,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.96 : 5,255.46 = 1,037.84 : x
  2. Step 2: Convert to fraction form
    3,502.96/5,255.46 = 1,037.84/x
  3. Step 3: Cross multiply
    3,502.96x = 5,255.46 × 1,037.84
  4. Step 4: Simplify right side
    3,502.96x = 5,454,326.61
  5. Step 5: Solve for x
    x = 5,454,326.61/3,502.96
  6. Step 6: Final answer
    x = 1,557.06

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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.