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Finding the Fourth Proportional to 3,867.96, 5,337.84 and 2,099.64

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Solution

The fourth proportional to 3,867.96, 5,337.84 and 2,099.64 is: 2,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.96 : 5,337.84 = 2,099.64 : x
  2. Step 2: Convert to fraction form
    3,867.96/5,337.84 = 2,099.64/x
  3. Step 3: Cross multiply
    3,867.96x = 5,337.84 × 2,099.64
  4. Step 4: Simplify right side
    3,867.96x = 11,207,542.38
  5. Step 5: Solve for x
    x = 11,207,542.38/3,867.96
  6. Step 6: Final answer
    x = 2,897.53

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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.