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Finding the Fourth Proportional to 5,469.90, 8,204.85 and 5,145.90

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Solution

The fourth proportional to 5,469.90, 8,204.85 and 5,145.90 is: 7,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.90 : 8,204.85 = 5,145.90 : x
  2. Step 2: Convert to fraction form
    5,469.90/8,204.85 = 5,145.90/x
  3. Step 3: Cross multiply
    5,469.90x = 8,204.85 × 5,145.90
  4. Step 4: Simplify right side
    5,469.90x = 42,221,337.62
  5. Step 5: Solve for x
    x = 42,221,337.62/5,469.90
  6. Step 6: Final answer
    x = 7,718.85

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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.