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Finding the Fourth Proportional to 5,177.06, 7,758.03 and 2,576.42

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Solution

The fourth proportional to 5,177.06, 7,758.03 and 2,576.42 is: 3,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.06 : 7,758.03 = 2,576.42 : x
  2. Step 2: Convert to fraction form
    5,177.06/7,758.03 = 2,576.42/x
  3. Step 3: Cross multiply
    5,177.06x = 7,758.03 × 2,576.42
  4. Step 4: Simplify right side
    5,177.06x = 19,987,943.65
  5. Step 5: Solve for x
    x = 19,987,943.65/5,177.06
  6. Step 6: Final answer
    x = 3,860.87

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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.