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Finding the Fourth Proportional to 5,278.64, 7,914.81 and 1,767.79

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Solution

The fourth proportional to 5,278.64, 7,914.81 and 1,767.79 is: 2,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.64 : 7,914.81 = 1,767.79 : x
  2. Step 2: Convert to fraction form
    5,278.64/7,914.81 = 1,767.79/x
  3. Step 3: Cross multiply
    5,278.64x = 7,914.81 × 1,767.79
  4. Step 4: Simplify right side
    5,278.64x = 13,991,713.13
  5. Step 5: Solve for x
    x = 13,991,713.13/5,278.64
  6. Step 6: Final answer
    x = 2,650.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.