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Finding the Fourth Proportional to 4,236.90, 6,348.42 and 4,074.90

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Solution

The fourth proportional to 4,236.90, 6,348.42 and 4,074.90 is: 6,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.90 : 6,348.42 = 4,074.90 : x
  2. Step 2: Convert to fraction form
    4,236.90/6,348.42 = 4,074.90/x
  3. Step 3: Cross multiply
    4,236.90x = 6,348.42 × 4,074.90
  4. Step 4: Simplify right side
    4,236.90x = 25,869,176.66
  5. Step 5: Solve for x
    x = 25,869,176.66/4,236.90
  6. Step 6: Final answer
    x = 6,105.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.