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Finding the Fourth Proportional to 5,578.88, 7,698.78 and 3,220.97

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Solution

The fourth proportional to 5,578.88, 7,698.78 and 3,220.97 is: 4,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.88 : 7,698.78 = 3,220.97 : x
  2. Step 2: Convert to fraction form
    5,578.88/7,698.78 = 3,220.97/x
  3. Step 3: Cross multiply
    5,578.88x = 7,698.78 × 3,220.97
  4. Step 4: Simplify right side
    5,578.88x = 24,797,539.42
  5. Step 5: Solve for x
    x = 24,797,539.42/5,578.88
  6. Step 6: Final answer
    x = 4,444.90

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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.