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Finding the Fourth Proportional to 3,502.99, 5,238.99 and 3,115.71

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Solution

The fourth proportional to 3,502.99, 5,238.99 and 3,115.71 is: 4,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.99 : 5,238.99 = 3,115.71 : x
  2. Step 2: Convert to fraction form
    3,502.99/5,238.99 = 3,115.71/x
  3. Step 3: Cross multiply
    3,502.99x = 5,238.99 × 3,115.71
  4. Step 4: Simplify right side
    3,502.99x = 16,323,173.53
  5. Step 5: Solve for x
    x = 16,323,173.53/3,502.99
  6. Step 6: Final answer
    x = 4,659.78

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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.