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Finding the Fourth Proportional to 3,502.85, 5,255.04 and 1,037.86

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Solution

The fourth proportional to 3,502.85, 5,255.04 and 1,037.86 is: 1,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.85 : 5,255.04 = 1,037.86 : x
  2. Step 2: Convert to fraction form
    3,502.85/5,255.04 = 1,037.86/x
  3. Step 3: Cross multiply
    3,502.85x = 5,255.04 × 1,037.86
  4. Step 4: Simplify right side
    3,502.85x = 5,453,995.81
  5. Step 5: Solve for x
    x = 5,453,995.81/3,502.85
  6. Step 6: Final answer
    x = 1,557.02

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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.