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Finding the Fourth Proportional to 5,577.78, 7,697.56 and 3,059.98

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Solution

The fourth proportional to 5,577.78, 7,697.56 and 3,059.98 is: 4,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.78 : 7,697.56 = 3,059.98 : x
  2. Step 2: Convert to fraction form
    5,577.78/7,697.56 = 3,059.98/x
  3. Step 3: Cross multiply
    5,577.78x = 7,697.56 × 3,059.98
  4. Step 4: Simplify right side
    5,577.78x = 23,554,379.65
  5. Step 5: Solve for x
    x = 23,554,379.65/5,577.78
  6. Step 6: Final answer
    x = 4,222.90

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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.