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Finding the Fourth Proportional to 4,263.52, 5,849 and 4,223.20

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Solution

The fourth proportional to 4,263.52, 5,849 and 4,223.20 is: 5,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.52 : 5,849 = 4,223.20 : x
  2. Step 2: Convert to fraction form
    4,263.52/5,849 = 4,223.20/x
  3. Step 3: Cross multiply
    4,263.52x = 5,849 × 4,223.20
  4. Step 4: Simplify right side
    4,263.52x = 24,701,496.80
  5. Step 5: Solve for x
    x = 24,701,496.80/4,263.52
  6. Step 6: Final answer
    x = 5,793.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.