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Finding the Fourth Proportional to 5,577.86, 7,697.42 and 3,059.96

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Solution

The fourth proportional to 5,577.86, 7,697.42 and 3,059.96 is: 4,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.86 : 7,697.42 = 3,059.96 : x
  2. Step 2: Convert to fraction form
    5,577.86/7,697.42 = 3,059.96/x
  3. Step 3: Cross multiply
    5,577.86x = 7,697.42 × 3,059.96
  4. Step 4: Simplify right side
    5,577.86x = 23,553,797.30
  5. Step 5: Solve for x
    x = 23,553,797.30/5,577.86
  6. Step 6: Final answer
    x = 4,222.73

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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.