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Finding the Fourth Proportional to 5,278.20, 7,918.25 and 1,767.86

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Solution

The fourth proportional to 5,278.20, 7,918.25 and 1,767.86 is: 2,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.20 : 7,918.25 = 1,767.86 : x
  2. Step 2: Convert to fraction form
    5,278.20/7,918.25 = 1,767.86/x
  3. Step 3: Cross multiply
    5,278.20x = 7,918.25 × 1,767.86
  4. Step 4: Simplify right side
    5,278.20x = 13,998,351.97
  5. Step 5: Solve for x
    x = 13,998,351.97/5,278.20
  6. Step 6: Final answer
    x = 2,652.11

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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.