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Finding the Fourth Proportional to 6,689.96, 9,231.38 and 3,705.04

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Solution

The fourth proportional to 6,689.96, 9,231.38 and 3,705.04 is: 5,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.96 : 9,231.38 = 3,705.04 : x
  2. Step 2: Convert to fraction form
    6,689.96/9,231.38 = 3,705.04/x
  3. Step 3: Cross multiply
    6,689.96x = 9,231.38 × 3,705.04
  4. Step 4: Simplify right side
    6,689.96x = 34,202,632.16
  5. Step 5: Solve for x
    x = 34,202,632.16/6,689.96
  6. Step 6: Final answer
    x = 5,112.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.