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Finding the Fourth Proportional to 5,577.72, 7,695.96 and 3,188.22

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Solution

The fourth proportional to 5,577.72, 7,695.96 and 3,188.22 is: 4,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.72 : 7,695.96 = 3,188.22 : x
  2. Step 2: Convert to fraction form
    5,577.72/7,695.96 = 3,188.22/x
  3. Step 3: Cross multiply
    5,577.72x = 7,695.96 × 3,188.22
  4. Step 4: Simplify right side
    5,577.72x = 24,536,413.59
  5. Step 5: Solve for x
    x = 24,536,413.59/5,577.72
  6. Step 6: Final answer
    x = 4,399.00

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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.