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Finding the Fourth Proportional to 3,517.63, 4,854.14 and 1,945.63

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Solution

The fourth proportional to 3,517.63, 4,854.14 and 1,945.63 is: 2,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.63 : 4,854.14 = 1,945.63 : x
  2. Step 2: Convert to fraction form
    3,517.63/4,854.14 = 1,945.63/x
  3. Step 3: Cross multiply
    3,517.63x = 4,854.14 × 1,945.63
  4. Step 4: Simplify right side
    3,517.63x = 9,444,360.41
  5. Step 5: Solve for x
    x = 9,444,360.41/3,517.63
  6. Step 6: Final answer
    x = 2,684.86

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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.