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Finding the Fourth Proportional to 4,490.52, 6,730.31 and 2,024.69

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Solution

The fourth proportional to 4,490.52, 6,730.31 and 2,024.69 is: 3,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.52 : 6,730.31 = 2,024.69 : x
  2. Step 2: Convert to fraction form
    4,490.52/6,730.31 = 2,024.69/x
  3. Step 3: Cross multiply
    4,490.52x = 6,730.31 × 2,024.69
  4. Step 4: Simplify right side
    4,490.52x = 13,626,747.58
  5. Step 5: Solve for x
    x = 13,626,747.58/4,490.52
  6. Step 6: Final answer
    x = 3,034.56

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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.