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Finding the Fourth Proportional to 5,296.92, 7,937.16 and 4,124.13

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Solution

The fourth proportional to 5,296.92, 7,937.16 and 4,124.13 is: 6,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.92 : 7,937.16 = 4,124.13 : x
  2. Step 2: Convert to fraction form
    5,296.92/7,937.16 = 4,124.13/x
  3. Step 3: Cross multiply
    5,296.92x = 7,937.16 × 4,124.13
  4. Step 4: Simplify right side
    5,296.92x = 32,733,879.67
  5. Step 5: Solve for x
    x = 32,733,879.67/5,296.92
  6. Step 6: Final answer
    x = 6,179.79

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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.