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Finding the Fourth Proportional to 4,158.68, 5,741.46 and 2,744.60

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Solution

The fourth proportional to 4,158.68, 5,741.46 and 2,744.60 is: 3,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.68 : 5,741.46 = 2,744.60 : x
  2. Step 2: Convert to fraction form
    4,158.68/5,741.46 = 2,744.60/x
  3. Step 3: Cross multiply
    4,158.68x = 5,741.46 × 2,744.60
  4. Step 4: Simplify right side
    4,158.68x = 15,758,011.12
  5. Step 5: Solve for x
    x = 15,758,011.12/4,158.68
  6. Step 6: Final answer
    x = 3,789.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.