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Finding the Fourth Proportional to 3,522.39, 5,280.10 and 1,963.14

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Solution

The fourth proportional to 3,522.39, 5,280.10 and 1,963.14 is: 2,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.39 : 5,280.10 = 1,963.14 : x
  2. Step 2: Convert to fraction form
    3,522.39/5,280.10 = 1,963.14/x
  3. Step 3: Cross multiply
    3,522.39x = 5,280.10 × 1,963.14
  4. Step 4: Simplify right side
    3,522.39x = 10,365,561.85
  5. Step 5: Solve for x
    x = 10,365,561.85/3,522.39
  6. Step 6: Final answer
    x = 2,942.77

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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.