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Finding the Fourth Proportional to 4,163.97, 5,746.23 and 2,395.74

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Solution

The fourth proportional to 4,163.97, 5,746.23 and 2,395.74 is: 3,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.97 : 5,746.23 = 2,395.74 : x
  2. Step 2: Convert to fraction form
    4,163.97/5,746.23 = 2,395.74/x
  3. Step 3: Cross multiply
    4,163.97x = 5,746.23 × 2,395.74
  4. Step 4: Simplify right side
    4,163.97x = 13,766,473.06
  5. Step 5: Solve for x
    x = 13,766,473.06/4,163.97
  6. Step 6: Final answer
    x = 3,306.09

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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.