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Finding the Fourth Proportional to 5,275, 7,279.52 and 2,917.16

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Solution

The fourth proportional to 5,275, 7,279.52 and 2,917.16 is: 4,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275 : 7,279.52 = 2,917.16 : x
  2. Step 2: Convert to fraction form
    5,275/7,279.52 = 2,917.16/x
  3. Step 3: Cross multiply
    5,275x = 7,279.52 × 2,917.16
  4. Step 4: Simplify right side
    5,275x = 21,235,524.56
  5. Step 5: Solve for x
    x = 21,235,524.56/5,275
  6. Step 6: Final answer
    x = 4,025.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.