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Finding the Fourth Proportional to 3,428.20, 5,142.30 and 963.10

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Solution

The fourth proportional to 3,428.20, 5,142.30 and 963.10 is: 1,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.20 : 5,142.30 = 963.10 : x
  2. Step 2: Convert to fraction form
    3,428.20/5,142.30 = 963.10/x
  3. Step 3: Cross multiply
    3,428.20x = 5,142.30 × 963.10
  4. Step 4: Simplify right side
    3,428.20x = 4,952,549.13
  5. Step 5: Solve for x
    x = 4,952,549.13/3,428.20
  6. Step 6: Final answer
    x = 1,444.65

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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.