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Finding the Fourth Proportional to 3,428.72, 5,142.32 and 963.78

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Solution

The fourth proportional to 3,428.72, 5,142.32 and 963.78 is: 1,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.72 : 5,142.32 = 963.78 : x
  2. Step 2: Convert to fraction form
    3,428.72/5,142.32 = 963.78/x
  3. Step 3: Cross multiply
    3,428.72x = 5,142.32 × 963.78
  4. Step 4: Simplify right side
    3,428.72x = 4,956,060.35
  5. Step 5: Solve for x
    x = 4,956,060.35/3,428.72
  6. Step 6: Final answer
    x = 1,445.46

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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.