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Finding the Fourth Proportional to 3,520.86, 5,282.19 and 1,440.17

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Solution

The fourth proportional to 3,520.86, 5,282.19 and 1,440.17 is: 2,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.86 : 5,282.19 = 1,440.17 : x
  2. Step 2: Convert to fraction form
    3,520.86/5,282.19 = 1,440.17/x
  3. Step 3: Cross multiply
    3,520.86x = 5,282.19 × 1,440.17
  4. Step 4: Simplify right side
    3,520.86x = 7,607,251.57
  5. Step 5: Solve for x
    x = 7,607,251.57/3,520.86
  6. Step 6: Final answer
    x = 2,160.62

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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.