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Finding the Fourth Proportional to 3,522.57, 5,280.35 and 1,963.28

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Solution

The fourth proportional to 3,522.57, 5,280.35 and 1,963.28 is: 2,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.57 : 5,280.35 = 1,963.28 : x
  2. Step 2: Convert to fraction form
    3,522.57/5,280.35 = 1,963.28/x
  3. Step 3: Cross multiply
    3,522.57x = 5,280.35 × 1,963.28
  4. Step 4: Simplify right side
    3,522.57x = 10,366,782.53
  5. Step 5: Solve for x
    x = 10,366,782.53/3,522.57
  6. Step 6: Final answer
    x = 2,942.96

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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.