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Finding the Fourth Proportional to 4,197.52, 5,793.15 and 3,147.76

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Solution

The fourth proportional to 4,197.52, 5,793.15 and 3,147.76 is: 4,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.52 : 5,793.15 = 3,147.76 : x
  2. Step 2: Convert to fraction form
    4,197.52/5,793.15 = 3,147.76/x
  3. Step 3: Cross multiply
    4,197.52x = 5,793.15 × 3,147.76
  4. Step 4: Simplify right side
    4,197.52x = 18,235,445.84
  5. Step 5: Solve for x
    x = 18,235,445.84/4,197.52
  6. Step 6: Final answer
    x = 4,344.34

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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.