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Finding the Fourth Proportional to 4,163.75, 5,745.80 and 2,275.40

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Solution

The fourth proportional to 4,163.75, 5,745.80 and 2,275.40 is: 3,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.75 : 5,745.80 = 2,275.40 : x
  2. Step 2: Convert to fraction form
    4,163.75/5,745.80 = 2,275.40/x
  3. Step 3: Cross multiply
    4,163.75x = 5,745.80 × 2,275.40
  4. Step 4: Simplify right side
    4,163.75x = 13,073,964.59
  5. Step 5: Solve for x
    x = 13,073,964.59/4,163.75
  6. Step 6: Final answer
    x = 3,139.95

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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.