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Finding the Fourth Proportional to 5,240.52, 7,231.82 and 3,002.28

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Solution

The fourth proportional to 5,240.52, 7,231.82 and 3,002.28 is: 4,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.52 : 7,231.82 = 3,002.28 : x
  2. Step 2: Convert to fraction form
    5,240.52/7,231.82 = 3,002.28/x
  3. Step 3: Cross multiply
    5,240.52x = 7,231.82 × 3,002.28
  4. Step 4: Simplify right side
    5,240.52x = 21,711,933.54
  5. Step 5: Solve for x
    x = 21,711,933.54/5,240.52
  6. Step 6: Final answer
    x = 4,143.09

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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.