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Finding the Fourth Proportional to 4,163.46, 5,745.63 and 2,275.08

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Solution

The fourth proportional to 4,163.46, 5,745.63 and 2,275.08 is: 3,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.46 : 5,745.63 = 2,275.08 : x
  2. Step 2: Convert to fraction form
    4,163.46/5,745.63 = 2,275.08/x
  3. Step 3: Cross multiply
    4,163.46x = 5,745.63 × 2,275.08
  4. Step 4: Simplify right side
    4,163.46x = 13,071,739.17
  5. Step 5: Solve for x
    x = 13,071,739.17/4,163.46
  6. Step 6: Final answer
    x = 3,139.64

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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.