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Finding the Fourth Proportional to 3,867.39, 5,337.02 and 2,099.00

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Solution

The fourth proportional to 3,867.39, 5,337.02 and 2,099.00 is: 2,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.39 : 5,337.02 = 2,099.00 : x
  2. Step 2: Convert to fraction form
    3,867.39/5,337.02 = 2,099.00/x
  3. Step 3: Cross multiply
    3,867.39x = 5,337.02 × 2,099.00
  4. Step 4: Simplify right side
    3,867.39x = 11,202,367.80
  5. Step 5: Solve for x
    x = 11,202,367.80/3,867.39
  6. Step 6: Final answer
    x = 2,896.62

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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.