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Finding the Fourth Proportional to 3,967.64, 5,475.27 and 2,375.46

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Solution

The fourth proportional to 3,967.64, 5,475.27 and 2,375.46 is: 3,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.64 : 5,475.27 = 2,375.46 : x
  2. Step 2: Convert to fraction form
    3,967.64/5,475.27 = 2,375.46/x
  3. Step 3: Cross multiply
    3,967.64x = 5,475.27 × 2,375.46
  4. Step 4: Simplify right side
    3,967.64x = 13,006,293.78
  5. Step 5: Solve for x
    x = 13,006,293.78/3,967.64
  6. Step 6: Final answer
    x = 3,278.09

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1.5x scale

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.