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Finding the Fourth Proportional to 3,563.97, 5,341.86 and 1,371.57

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Solution

The fourth proportional to 3,563.97, 5,341.86 and 1,371.57 is: 2,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.97 : 5,341.86 = 1,371.57 : x
  2. Step 2: Convert to fraction form
    3,563.97/5,341.86 = 1,371.57/x
  3. Step 3: Cross multiply
    3,563.97x = 5,341.86 × 1,371.57
  4. Step 4: Simplify right side
    3,563.97x = 7,326,734.92
  5. Step 5: Solve for x
    x = 7,326,734.92/3,563.97
  6. Step 6: Final answer
    x = 2,055.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.