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Finding the Fourth Proportional to 5,577.57, 7,697.04 and 3,059.78

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Solution

The fourth proportional to 5,577.57, 7,697.04 and 3,059.78 is: 4,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.57 : 7,697.04 = 3,059.78 : x
  2. Step 2: Convert to fraction form
    5,577.57/7,697.04 = 3,059.78/x
  3. Step 3: Cross multiply
    5,577.57x = 7,697.04 × 3,059.78
  4. Step 4: Simplify right side
    5,577.57x = 23,551,210.57
  5. Step 5: Solve for x
    x = 23,551,210.57/5,577.57
  6. Step 6: Final answer
    x = 4,222.49

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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.