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Finding the Fourth Proportional to 5,867.64, 8,049.24 and 5,375.70

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Solution

The fourth proportional to 5,867.64, 8,049.24 and 5,375.70 is: 7,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.64 : 8,049.24 = 5,375.70 : x
  2. Step 2: Convert to fraction form
    5,867.64/8,049.24 = 5,375.70/x
  3. Step 3: Cross multiply
    5,867.64x = 8,049.24 × 5,375.70
  4. Step 4: Simplify right side
    5,867.64x = 43,270,299.47
  5. Step 5: Solve for x
    x = 43,270,299.47/5,867.64
  6. Step 6: Final answer
    x = 7,374.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.