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Finding the Fourth Proportional to 3,454.42, 4,769.08 and 2,277.54

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Solution

The fourth proportional to 3,454.42, 4,769.08 and 2,277.54 is: 3,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.42 : 4,769.08 = 2,277.54 : x
  2. Step 2: Convert to fraction form
    3,454.42/4,769.08 = 2,277.54/x
  3. Step 3: Cross multiply
    3,454.42x = 4,769.08 × 2,277.54
  4. Step 4: Simplify right side
    3,454.42x = 10,861,778.18
  5. Step 5: Solve for x
    x = 10,861,778.18/3,454.42
  6. Step 6: Final answer
    x = 3,144.31

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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.