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Finding the Fourth Proportional to 3,640.86, 5,024.36 and 2,148.78

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Solution

The fourth proportional to 3,640.86, 5,024.36 and 2,148.78 is: 2,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.86 : 5,024.36 = 2,148.78 : x
  2. Step 2: Convert to fraction form
    3,640.86/5,024.36 = 2,148.78/x
  3. Step 3: Cross multiply
    3,640.86x = 5,024.36 × 2,148.78
  4. Step 4: Simplify right side
    3,640.86x = 10,796,244.28
  5. Step 5: Solve for x
    x = 10,796,244.28/3,640.86
  6. Step 6: Final answer
    x = 2,965.30

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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.