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Finding the Fourth Proportional to 5,278.64, 7,917.78 and 2,506.64

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Solution

The fourth proportional to 5,278.64, 7,917.78 and 2,506.64 is: 3,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.64 : 7,917.78 = 2,506.64 : x
  2. Step 2: Convert to fraction form
    5,278.64/7,917.78 = 2,506.64/x
  3. Step 3: Cross multiply
    5,278.64x = 7,917.78 × 2,506.64
  4. Step 4: Simplify right side
    5,278.64x = 19,847,024.06
  5. Step 5: Solve for x
    x = 19,847,024.06/5,278.64
  6. Step 6: Final answer
    x = 3,759.87

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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.