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Finding the Fourth Proportional to 5,577.07, 7,695.80 and 3,219.97

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Solution

The fourth proportional to 5,577.07, 7,695.80 and 3,219.97 is: 4,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.07 : 7,695.80 = 3,219.97 : x
  2. Step 2: Convert to fraction form
    5,577.07/7,695.80 = 3,219.97/x
  3. Step 3: Cross multiply
    5,577.07x = 7,695.80 × 3,219.97
  4. Step 4: Simplify right side
    5,577.07x = 24,780,209.79
  5. Step 5: Solve for x
    x = 24,780,209.79/5,577.07
  6. Step 6: Final answer
    x = 4,443.23

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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.