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Finding the Fourth Proportional to 5,197.92, 7,177.92 and 3,338.16

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Solution

The fourth proportional to 5,197.92, 7,177.92 and 3,338.16 is: 4,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.92 : 7,177.92 = 3,338.16 : x
  2. Step 2: Convert to fraction form
    5,197.92/7,177.92 = 3,338.16/x
  3. Step 3: Cross multiply
    5,197.92x = 7,177.92 × 3,338.16
  4. Step 4: Simplify right side
    5,197.92x = 23,961,045.43
  5. Step 5: Solve for x
    x = 23,961,045.43/5,197.92
  6. Step 6: Final answer
    x = 4,609.74

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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.