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Finding the Fourth Proportional to 5,630.34, 8,445.42 and 2,167.50

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Solution

The fourth proportional to 5,630.34, 8,445.42 and 2,167.50 is: 3,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.34 : 8,445.42 = 2,167.50 : x
  2. Step 2: Convert to fraction form
    5,630.34/8,445.42 = 2,167.50/x
  3. Step 3: Cross multiply
    5,630.34x = 8,445.42 × 2,167.50
  4. Step 4: Simplify right side
    5,630.34x = 18,305,447.85
  5. Step 5: Solve for x
    x = 18,305,447.85/5,630.34
  6. Step 6: Final answer
    x = 3,251.22

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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.