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Finding the Fourth Proportional to 5,578.40, 7,697.92 and 3,221.30

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Solution

The fourth proportional to 5,578.40, 7,697.92 and 3,221.30 is: 4,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.40 : 7,697.92 = 3,221.30 : x
  2. Step 2: Convert to fraction form
    5,578.40/7,697.92 = 3,221.30/x
  3. Step 3: Cross multiply
    5,578.40x = 7,697.92 × 3,221.30
  4. Step 4: Simplify right side
    5,578.40x = 24,797,309.70
  5. Step 5: Solve for x
    x = 24,797,309.70/5,578.40
  6. Step 6: Final answer
    x = 4,445.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.