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Finding the Fourth Proportional to 3,517.26, 4,854.05 and 1,945.38

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Solution

The fourth proportional to 3,517.26, 4,854.05 and 1,945.38 is: 2,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.26 : 4,854.05 = 1,945.38 : x
  2. Step 2: Convert to fraction form
    3,517.26/4,854.05 = 1,945.38/x
  3. Step 3: Cross multiply
    3,517.26x = 4,854.05 × 1,945.38
  4. Step 4: Simplify right side
    3,517.26x = 9,442,971.79
  5. Step 5: Solve for x
    x = 9,442,971.79/3,517.26
  6. Step 6: Final answer
    x = 2,684.75

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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.