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Finding the Fourth Proportional to 3,957.24, 5,938.48 and 2,642.46

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Solution

The fourth proportional to 3,957.24, 5,938.48 and 2,642.46 is: 3,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.24 : 5,938.48 = 2,642.46 : x
  2. Step 2: Convert to fraction form
    3,957.24/5,938.48 = 2,642.46/x
  3. Step 3: Cross multiply
    3,957.24x = 5,938.48 × 2,642.46
  4. Step 4: Simplify right side
    3,957.24x = 15,692,195.86
  5. Step 5: Solve for x
    x = 15,692,195.86/3,957.24
  6. Step 6: Final answer
    x = 3,965.44

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