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Finding the Fourth Proportional to 5,278.43, 7,914.99 and 1,767.22

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Solution

The fourth proportional to 5,278.43, 7,914.99 and 1,767.22 is: 2,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.43 : 7,914.99 = 1,767.22 : x
  2. Step 2: Convert to fraction form
    5,278.43/7,914.99 = 1,767.22/x
  3. Step 3: Cross multiply
    5,278.43x = 7,914.99 × 1,767.22
  4. Step 4: Simplify right side
    5,278.43x = 13,987,489.05
  5. Step 5: Solve for x
    x = 13,987,489.05/5,278.43
  6. Step 6: Final answer
    x = 2,649.93

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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.