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Finding the Fourth Proportional to 3,230.75, 4,846.16 and 2,585.59

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Solution

The fourth proportional to 3,230.75, 4,846.16 and 2,585.59 is: 3,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.75 : 4,846.16 = 2,585.59 : x
  2. Step 2: Convert to fraction form
    3,230.75/4,846.16 = 2,585.59/x
  3. Step 3: Cross multiply
    3,230.75x = 4,846.16 × 2,585.59
  4. Step 4: Simplify right side
    3,230.75x = 12,530,177.18
  5. Step 5: Solve for x
    x = 12,530,177.18/3,230.75
  6. Step 6: Final answer
    x = 3,878.41

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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.