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Finding the Fourth Proportional to 3,867.42, 5,337.03 and 2,099.02

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Solution

The fourth proportional to 3,867.42, 5,337.03 and 2,099.02 is: 2,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.42 : 5,337.03 = 2,099.02 : x
  2. Step 2: Convert to fraction form
    3,867.42/5,337.03 = 2,099.02/x
  3. Step 3: Cross multiply
    3,867.42x = 5,337.03 × 2,099.02
  4. Step 4: Simplify right side
    3,867.42x = 11,202,532.71
  5. Step 5: Solve for x
    x = 11,202,532.71/3,867.42
  6. Step 6: Final answer
    x = 2,896.64

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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.