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Finding the Fourth Proportional to 3,557.74, 5,338.15 and 1,478.20

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Solution

The fourth proportional to 3,557.74, 5,338.15 and 1,478.20 is: 2,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.74 : 5,338.15 = 1,478.20 : x
  2. Step 2: Convert to fraction form
    3,557.74/5,338.15 = 1,478.20/x
  3. Step 3: Cross multiply
    3,557.74x = 5,338.15 × 1,478.20
  4. Step 4: Simplify right side
    3,557.74x = 7,890,853.33
  5. Step 5: Solve for x
    x = 7,890,853.33/3,557.74
  6. Step 6: Final answer
    x = 2,217.94

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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.