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Finding the Fourth Proportional to 5,278.38, 7,914.92 and 1,767.18

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Solution

The fourth proportional to 5,278.38, 7,914.92 and 1,767.18 is: 2,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.38 : 7,914.92 = 1,767.18 : x
  2. Step 2: Convert to fraction form
    5,278.38/7,914.92 = 1,767.18/x
  3. Step 3: Cross multiply
    5,278.38x = 7,914.92 × 1,767.18
  4. Step 4: Simplify right side
    5,278.38x = 13,987,088.33
  5. Step 5: Solve for x
    x = 13,987,088.33/5,278.38
  6. Step 6: Final answer
    x = 2,649.88

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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.