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Finding the Fourth Proportional to 5,150, 7,725.28 and 1,687.26

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Solution

The fourth proportional to 5,150, 7,725.28 and 1,687.26 is: 2,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150 : 7,725.28 = 1,687.26 : x
  2. Step 2: Convert to fraction form
    5,150/7,725.28 = 1,687.26/x
  3. Step 3: Cross multiply
    5,150x = 7,725.28 × 1,687.26
  4. Step 4: Simplify right side
    5,150x = 13,034,555.93
  5. Step 5: Solve for x
    x = 13,034,555.93/5,150
  6. Step 6: Final answer
    x = 2,530.98

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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.