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Finding the Fourth Proportional to 5,836.86, 8,052.41 and 4,069.49

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Solution

The fourth proportional to 5,836.86, 8,052.41 and 4,069.49 is: 5,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.86 : 8,052.41 = 4,069.49 : x
  2. Step 2: Convert to fraction form
    5,836.86/8,052.41 = 4,069.49/x
  3. Step 3: Cross multiply
    5,836.86x = 8,052.41 × 4,069.49
  4. Step 4: Simplify right side
    5,836.86x = 32,769,217.18
  5. Step 5: Solve for x
    x = 32,769,217.18/5,836.86
  6. Step 6: Final answer
    x = 5,614.19

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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.