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Finding the Fourth Proportional to 3,585.78, 5,380.19 and 2,765.66

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Solution

The fourth proportional to 3,585.78, 5,380.19 and 2,765.66 is: 4,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.78 : 5,380.19 = 2,765.66 : x
  2. Step 2: Convert to fraction form
    3,585.78/5,380.19 = 2,765.66/x
  3. Step 3: Cross multiply
    3,585.78x = 5,380.19 × 2,765.66
  4. Step 4: Simplify right side
    3,585.78x = 14,879,735.55
  5. Step 5: Solve for x
    x = 14,879,735.55/3,585.78
  6. Step 6: Final answer
    x = 4,149.65

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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.