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Finding the Fourth Proportional to 5,906.38, 8,842.40 and 3,433.66

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Solution

The fourth proportional to 5,906.38, 8,842.40 and 3,433.66 is: 5,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.38 : 8,842.40 = 3,433.66 : x
  2. Step 2: Convert to fraction form
    5,906.38/8,842.40 = 3,433.66/x
  3. Step 3: Cross multiply
    5,906.38x = 8,842.40 × 3,433.66
  4. Step 4: Simplify right side
    5,906.38x = 30,361,795.18
  5. Step 5: Solve for x
    x = 30,361,795.18/5,906.38
  6. Step 6: Final answer
    x = 5,140.51

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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.