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Finding the Fourth Proportional to 3,741.80, 5,613.92 and 1,278.18

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Solution

The fourth proportional to 3,741.80, 5,613.92 and 1,278.18 is: 1,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.80 : 5,613.92 = 1,278.18 : x
  2. Step 2: Convert to fraction form
    3,741.80/5,613.92 = 1,278.18/x
  3. Step 3: Cross multiply
    3,741.80x = 5,613.92 × 1,278.18
  4. Step 4: Simplify right side
    3,741.80x = 7,175,600.27
  5. Step 5: Solve for x
    x = 7,175,600.27/3,741.80
  6. Step 6: Final answer
    x = 1,917.69

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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.