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Finding the Fourth Proportional to 3,517.32, 4,853.88 and 1,945.38

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Solution

The fourth proportional to 3,517.32, 4,853.88 and 1,945.38 is: 2,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.32 : 4,853.88 = 1,945.38 : x
  2. Step 2: Convert to fraction form
    3,517.32/4,853.88 = 1,945.38/x
  3. Step 3: Cross multiply
    3,517.32x = 4,853.88 × 1,945.38
  4. Step 4: Simplify right side
    3,517.32x = 9,442,641.07
  5. Step 5: Solve for x
    x = 9,442,641.07/3,517.32
  6. Step 6: Final answer
    x = 2,684.61

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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.