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Finding the Fourth Proportional to 5,839.92, 8,057.34 and 5,278.59

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Solution

The fourth proportional to 5,839.92, 8,057.34 and 5,278.59 is: 7,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.92 : 8,057.34 = 5,278.59 : x
  2. Step 2: Convert to fraction form
    5,839.92/8,057.34 = 5,278.59/x
  3. Step 3: Cross multiply
    5,839.92x = 8,057.34 × 5,278.59
  4. Step 4: Simplify right side
    5,839.92x = 42,531,394.35
  5. Step 5: Solve for x
    x = 42,531,394.35/5,839.92
  6. Step 6: Final answer
    x = 7,282.87

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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.