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Finding the Fourth Proportional to 3,995.64, 5,995.86 and 1,687.14

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Solution

The fourth proportional to 3,995.64, 5,995.86 and 1,687.14 is: 2,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.64 : 5,995.86 = 1,687.14 : x
  2. Step 2: Convert to fraction form
    3,995.64/5,995.86 = 1,687.14/x
  3. Step 3: Cross multiply
    3,995.64x = 5,995.86 × 1,687.14
  4. Step 4: Simplify right side
    3,995.64x = 10,115,855.24
  5. Step 5: Solve for x
    x = 10,115,855.24/3,995.64
  6. Step 6: Final answer
    x = 2,531.72

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1.5x scale

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.