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Finding the Fourth Proportional to 3,778.50, 5,214.29 and 2,163.19

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Solution

The fourth proportional to 3,778.50, 5,214.29 and 2,163.19 is: 2,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.50 : 5,214.29 = 2,163.19 : x
  2. Step 2: Convert to fraction form
    3,778.50/5,214.29 = 2,163.19/x
  3. Step 3: Cross multiply
    3,778.50x = 5,214.29 × 2,163.19
  4. Step 4: Simplify right side
    3,778.50x = 11,279,510.95
  5. Step 5: Solve for x
    x = 11,279,510.95/3,778.50
  6. Step 6: Final answer
    x = 2,985.18

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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.