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Finding the Fourth Proportional to 4,074.60, 6,104.70 and 3,613.80

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Solution

The fourth proportional to 4,074.60, 6,104.70 and 3,613.80 is: 5,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.60 : 6,104.70 = 3,613.80 : x
  2. Step 2: Convert to fraction form
    4,074.60/6,104.70 = 3,613.80/x
  3. Step 3: Cross multiply
    4,074.60x = 6,104.70 × 3,613.80
  4. Step 4: Simplify right side
    4,074.60x = 22,061,164.86
  5. Step 5: Solve for x
    x = 22,061,164.86/4,074.60
  6. Step 6: Final answer
    x = 5,414.31

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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.