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Finding the Fourth Proportional to 5,982.32, 8,257.84 and 5,139.66

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Solution

The fourth proportional to 5,982.32, 8,257.84 and 5,139.66 is: 7,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.32 : 8,257.84 = 5,139.66 : x
  2. Step 2: Convert to fraction form
    5,982.32/8,257.84 = 5,139.66/x
  3. Step 3: Cross multiply
    5,982.32x = 8,257.84 × 5,139.66
  4. Step 4: Simplify right side
    5,982.32x = 42,442,489.93
  5. Step 5: Solve for x
    x = 42,442,489.93/5,982.32
  6. Step 6: Final answer
    x = 7,094.65

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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.