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Finding the Fourth Proportional to 3,640.75, 5,024.03 and 2,148.59

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Solution

The fourth proportional to 3,640.75, 5,024.03 and 2,148.59 is: 2,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.75 : 5,024.03 = 2,148.59 : x
  2. Step 2: Convert to fraction form
    3,640.75/5,024.03 = 2,148.59/x
  3. Step 3: Cross multiply
    3,640.75x = 5,024.03 × 2,148.59
  4. Step 4: Simplify right side
    3,640.75x = 10,794,582.43
  5. Step 5: Solve for x
    x = 10,794,582.43/3,640.75
  6. Step 6: Final answer
    x = 2,964.94

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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.