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Finding the Fourth Proportional to 3,960.78, 5,470.20 and 2,640.10

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Solution

The fourth proportional to 3,960.78, 5,470.20 and 2,640.10 is: 3,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.78 : 5,470.20 = 2,640.10 : x
  2. Step 2: Convert to fraction form
    3,960.78/5,470.20 = 2,640.10/x
  3. Step 3: Cross multiply
    3,960.78x = 5,470.20 × 2,640.10
  4. Step 4: Simplify right side
    3,960.78x = 14,441,875.02
  5. Step 5: Solve for x
    x = 14,441,875.02/3,960.78
  6. Step 6: Final answer
    x = 3,646.22

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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.