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Finding the Fourth Proportional to 5,370.92, 8,042.64 and 3,181.24

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Solution

The fourth proportional to 5,370.92, 8,042.64 and 3,181.24 is: 4,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.92 : 8,042.64 = 3,181.24 : x
  2. Step 2: Convert to fraction form
    5,370.92/8,042.64 = 3,181.24/x
  3. Step 3: Cross multiply
    5,370.92x = 8,042.64 × 3,181.24
  4. Step 4: Simplify right side
    5,370.92x = 25,585,568.07
  5. Step 5: Solve for x
    x = 25,585,568.07/5,370.92
  6. Step 6: Final answer
    x = 4,763.72

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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.