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Finding the Fourth Proportional to 4,007.52, 6,024.72 and 3,282.48

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Solution

The fourth proportional to 4,007.52, 6,024.72 and 3,282.48 is: 4,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.52 : 6,024.72 = 3,282.48 : x
  2. Step 2: Convert to fraction form
    4,007.52/6,024.72 = 3,282.48/x
  3. Step 3: Cross multiply
    4,007.52x = 6,024.72 × 3,282.48
  4. Step 4: Simplify right side
    4,007.52x = 19,776,022.91
  5. Step 5: Solve for x
    x = 19,776,022.91/4,007.52
  6. Step 6: Final answer
    x = 4,934.73

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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.