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Finding the Fourth Proportional to 4,163.85, 5,746.92 and 2,673.66

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Solution

The fourth proportional to 4,163.85, 5,746.92 and 2,673.66 is: 3,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.85 : 5,746.92 = 2,673.66 : x
  2. Step 2: Convert to fraction form
    4,163.85/5,746.92 = 2,673.66/x
  3. Step 3: Cross multiply
    4,163.85x = 5,746.92 × 2,673.66
  4. Step 4: Simplify right side
    4,163.85x = 15,365,310.13
  5. Step 5: Solve for x
    x = 15,365,310.13/4,163.85
  6. Step 6: Final answer
    x = 3,690.17

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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.