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Finding the Fourth Proportional to 3,523.60, 5,280.80 and 1,963.54

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Solution

The fourth proportional to 3,523.60, 5,280.80 and 1,963.54 is: 2,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.60 : 5,280.80 = 1,963.54 : x
  2. Step 2: Convert to fraction form
    3,523.60/5,280.80 = 1,963.54/x
  3. Step 3: Cross multiply
    3,523.60x = 5,280.80 × 1,963.54
  4. Step 4: Simplify right side
    3,523.60x = 10,369,035.63
  5. Step 5: Solve for x
    x = 10,369,035.63/3,523.60
  6. Step 6: Final answer
    x = 2,942.74

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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.