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Finding the Fourth Proportional to 6,849.38, 9,452.14 and 3,705.56

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Solution

The fourth proportional to 6,849.38, 9,452.14 and 3,705.56 is: 5,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.38 : 9,452.14 = 3,705.56 : x
  2. Step 2: Convert to fraction form
    6,849.38/9,452.14 = 3,705.56/x
  3. Step 3: Cross multiply
    6,849.38x = 9,452.14 × 3,705.56
  4. Step 4: Simplify right side
    6,849.38x = 35,025,486.26
  5. Step 5: Solve for x
    x = 35,025,486.26/6,849.38
  6. Step 6: Final answer
    x = 5,113.68

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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.