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Finding the Fourth Proportional to 3,947.40, 5,922.12 and 1,482.39

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Solution

The fourth proportional to 3,947.40, 5,922.12 and 1,482.39 is: 2,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.40 : 5,922.12 = 1,482.39 : x
  2. Step 2: Convert to fraction form
    3,947.40/5,922.12 = 1,482.39/x
  3. Step 3: Cross multiply
    3,947.40x = 5,922.12 × 1,482.39
  4. Step 4: Simplify right side
    3,947.40x = 8,778,891.47
  5. Step 5: Solve for x
    x = 8,778,891.47/3,947.40
  6. Step 6: Final answer
    x = 2,223.97

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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.