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Finding the Fourth Proportional to 5,209.55, 7,805.22 and 4,337.66

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Solution

The fourth proportional to 5,209.55, 7,805.22 and 4,337.66 is: 6,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.55 : 7,805.22 = 4,337.66 : x
  2. Step 2: Convert to fraction form
    5,209.55/7,805.22 = 4,337.66/x
  3. Step 3: Cross multiply
    5,209.55x = 7,805.22 × 4,337.66
  4. Step 4: Simplify right side
    5,209.55x = 33,856,351.56
  5. Step 5: Solve for x
    x = 33,856,351.56/5,209.55
  6. Step 6: Final answer
    x = 6,498.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.