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Finding the Fourth Proportional to 3,480.52, 5,219.44 and 1,139.92

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Solution

The fourth proportional to 3,480.52, 5,219.44 and 1,139.92 is: 1,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.52 : 5,219.44 = 1,139.92 : x
  2. Step 2: Convert to fraction form
    3,480.52/5,219.44 = 1,139.92/x
  3. Step 3: Cross multiply
    3,480.52x = 5,219.44 × 1,139.92
  4. Step 4: Simplify right side
    3,480.52x = 5,949,744.04
  5. Step 5: Solve for x
    x = 5,949,744.04/3,480.52
  6. Step 6: Final answer
    x = 1,709.44

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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.