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Finding the Fourth Proportional to 5,177.73, 7,760.11 and 4,077.75

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Solution

The fourth proportional to 5,177.73, 7,760.11 and 4,077.75 is: 6,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.73 : 7,760.11 = 4,077.75 : x
  2. Step 2: Convert to fraction form
    5,177.73/7,760.11 = 4,077.75/x
  3. Step 3: Cross multiply
    5,177.73x = 7,760.11 × 4,077.75
  4. Step 4: Simplify right side
    5,177.73x = 31,643,788.55
  5. Step 5: Solve for x
    x = 31,643,788.55/5,177.73
  6. Step 6: Final answer
    x = 6,111.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.