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Finding the Fourth Proportional to 5,577.66, 7,697.17 and 3,219.80

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Solution

The fourth proportional to 5,577.66, 7,697.17 and 3,219.80 is: 4,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.66 : 7,697.17 = 3,219.80 : x
  2. Step 2: Convert to fraction form
    5,577.66/7,697.17 = 3,219.80/x
  3. Step 3: Cross multiply
    5,577.66x = 7,697.17 × 3,219.80
  4. Step 4: Simplify right side
    5,577.66x = 24,783,347.97
  5. Step 5: Solve for x
    x = 24,783,347.97/5,577.66
  6. Step 6: Final answer
    x = 4,443.32

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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.