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Finding the Fourth Proportional to 5,834.24, 8,049.48 and 5,272.91

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Solution

The fourth proportional to 5,834.24, 8,049.48 and 5,272.91 is: 7,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.24 : 8,049.48 = 5,272.91 : x
  2. Step 2: Convert to fraction form
    5,834.24/8,049.48 = 5,272.91/x
  3. Step 3: Cross multiply
    5,834.24x = 8,049.48 × 5,272.91
  4. Step 4: Simplify right side
    5,834.24x = 42,444,183.59
  5. Step 5: Solve for x
    x = 42,444,183.59/5,834.24
  6. Step 6: Final answer
    x = 7,275.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.