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Finding the Fourth Proportional to 5,120.78, 7,665.35 and 2,866.14

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Solution

The fourth proportional to 5,120.78, 7,665.35 and 2,866.14 is: 4,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.78 : 7,665.35 = 2,866.14 : x
  2. Step 2: Convert to fraction form
    5,120.78/7,665.35 = 2,866.14/x
  3. Step 3: Cross multiply
    5,120.78x = 7,665.35 × 2,866.14
  4. Step 4: Simplify right side
    5,120.78x = 21,969,951.92
  5. Step 5: Solve for x
    x = 21,969,951.92/5,120.78
  6. Step 6: Final answer
    x = 4,290.36

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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.