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Finding the Fourth Proportional to 3,640.24, 5,024.13 and 2,148.52

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Solution

The fourth proportional to 3,640.24, 5,024.13 and 2,148.52 is: 2,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.24 : 5,024.13 = 2,148.52 : x
  2. Step 2: Convert to fraction form
    3,640.24/5,024.13 = 2,148.52/x
  3. Step 3: Cross multiply
    3,640.24x = 5,024.13 × 2,148.52
  4. Step 4: Simplify right side
    3,640.24x = 10,794,443.79
  5. Step 5: Solve for x
    x = 10,794,443.79/3,640.24
  6. Step 6: Final answer
    x = 2,965.31

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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.