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Finding the Fourth Proportional to 5,832.24, 8,046.72 and 5,270.91

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Solution

The fourth proportional to 5,832.24, 8,046.72 and 5,270.91 is: 7,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.24 : 8,046.72 = 5,270.91 : x
  2. Step 2: Convert to fraction form
    5,832.24/8,046.72 = 5,270.91/x
  3. Step 3: Cross multiply
    5,832.24x = 8,046.72 × 5,270.91
  4. Step 4: Simplify right side
    5,832.24x = 42,413,536.92
  5. Step 5: Solve for x
    x = 42,413,536.92/5,832.24
  6. Step 6: Final answer
    x = 7,272.26

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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.