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Finding the Fourth Proportional to 4,454.82, 6,149.97 and 4,160.34

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Solution

The fourth proportional to 4,454.82, 6,149.97 and 4,160.34 is: 5,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.82 : 6,149.97 = 4,160.34 : x
  2. Step 2: Convert to fraction form
    4,454.82/6,149.97 = 4,160.34/x
  3. Step 3: Cross multiply
    4,454.82x = 6,149.97 × 4,160.34
  4. Step 4: Simplify right side
    4,454.82x = 25,585,966.19
  5. Step 5: Solve for x
    x = 25,585,966.19/4,454.82
  6. Step 6: Final answer
    x = 5,743.43

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