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Finding the Fourth Proportional to 3,560.43, 5,340.69 and 963.42

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Solution

The fourth proportional to 3,560.43, 5,340.69 and 963.42 is: 1,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.43 : 5,340.69 = 963.42 : x
  2. Step 2: Convert to fraction form
    3,560.43/5,340.69 = 963.42/x
  3. Step 3: Cross multiply
    3,560.43x = 5,340.69 × 963.42
  4. Step 4: Simplify right side
    3,560.43x = 5,145,327.56
  5. Step 5: Solve for x
    x = 5,145,327.56/3,560.43
  6. Step 6: Final answer
    x = 1,445.14

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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.