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Finding the Fourth Proportional to 3,230.92, 4,846.83 and 1,587.53

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Solution

The fourth proportional to 3,230.92, 4,846.83 and 1,587.53 is: 2,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.92 : 4,846.83 = 1,587.53 : x
  2. Step 2: Convert to fraction form
    3,230.92/4,846.83 = 1,587.53/x
  3. Step 3: Cross multiply
    3,230.92x = 4,846.83 × 1,587.53
  4. Step 4: Simplify right side
    3,230.92x = 7,694,481.97
  5. Step 5: Solve for x
    x = 7,694,481.97/3,230.92
  6. Step 6: Final answer
    x = 2,381.52

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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.