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Finding the Fourth Proportional to 5,180.65, 7,767.04 and 2,679.15

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Solution

The fourth proportional to 5,180.65, 7,767.04 and 2,679.15 is: 4,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.65 : 7,767.04 = 2,679.15 : x
  2. Step 2: Convert to fraction form
    5,180.65/7,767.04 = 2,679.15/x
  3. Step 3: Cross multiply
    5,180.65x = 7,767.04 × 2,679.15
  4. Step 4: Simplify right side
    5,180.65x = 20,809,070.82
  5. Step 5: Solve for x
    x = 20,809,070.82/5,180.65
  6. Step 6: Final answer
    x = 4,016.69

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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.