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Finding the Fourth Proportional to 3,963.60, 5,945.40 and 2,494.80

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Solution

The fourth proportional to 3,963.60, 5,945.40 and 2,494.80 is: 3,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.60 : 5,945.40 = 2,494.80 : x
  2. Step 2: Convert to fraction form
    3,963.60/5,945.40 = 2,494.80/x
  3. Step 3: Cross multiply
    3,963.60x = 5,945.40 × 2,494.80
  4. Step 4: Simplify right side
    3,963.60x = 14,832,583.92
  5. Step 5: Solve for x
    x = 14,832,583.92/3,963.60
  6. Step 6: Final answer
    x = 3,742.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.