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Finding the Fourth Proportional to 5,402.66, 8,103.98 and 4,171.86

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Solution

The fourth proportional to 5,402.66, 8,103.98 and 4,171.86 is: 6,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.66 : 8,103.98 = 4,171.86 : x
  2. Step 2: Convert to fraction form
    5,402.66/8,103.98 = 4,171.86/x
  3. Step 3: Cross multiply
    5,402.66x = 8,103.98 × 4,171.86
  4. Step 4: Simplify right side
    5,402.66x = 33,808,680.43
  5. Step 5: Solve for x
    x = 33,808,680.43/5,402.66
  6. Step 6: Final answer
    x = 6,257.79

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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.