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Finding the Fourth Proportional to 3,454.65, 4,766.85 and 3,279.56

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Solution

The fourth proportional to 3,454.65, 4,766.85 and 3,279.56 is: 4,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.65 : 4,766.85 = 3,279.56 : x
  2. Step 2: Convert to fraction form
    3,454.65/4,766.85 = 3,279.56/x
  3. Step 3: Cross multiply
    3,454.65x = 4,766.85 × 3,279.56
  4. Step 4: Simplify right side
    3,454.65x = 15,633,146.75
  5. Step 5: Solve for x
    x = 15,633,146.75/3,454.65
  6. Step 6: Final answer
    x = 4,525.25

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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.