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Finding the Fourth Proportional to 3,481.68, 5,223.96 and 2,095.86

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Solution

The fourth proportional to 3,481.68, 5,223.96 and 2,095.86 is: 3,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.68 : 5,223.96 = 2,095.86 : x
  2. Step 2: Convert to fraction form
    3,481.68/5,223.96 = 2,095.86/x
  3. Step 3: Cross multiply
    3,481.68x = 5,223.96 × 2,095.86
  4. Step 4: Simplify right side
    3,481.68x = 10,948,688.81
  5. Step 5: Solve for x
    x = 10,948,688.81/3,481.68
  6. Step 6: Final answer
    x = 3,144.66

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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.