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Finding the Fourth Proportional to 3,472.47, 5,209.11 and 1,393.20

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Solution

The fourth proportional to 3,472.47, 5,209.11 and 1,393.20 is: 2,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.47 : 5,209.11 = 1,393.20 : x
  2. Step 2: Convert to fraction form
    3,472.47/5,209.11 = 1,393.20/x
  3. Step 3: Cross multiply
    3,472.47x = 5,209.11 × 1,393.20
  4. Step 4: Simplify right side
    3,472.47x = 7,257,332.05
  5. Step 5: Solve for x
    x = 7,257,332.05/3,472.47
  6. Step 6: Final answer
    x = 2,089.96

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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.