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Finding the Fourth Proportional to 3,778.45, 5,214.17 and 2,184.98

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Solution

The fourth proportional to 3,778.45, 5,214.17 and 2,184.98 is: 3,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.45 : 5,214.17 = 2,184.98 : x
  2. Step 2: Convert to fraction form
    3,778.45/5,214.17 = 2,184.98/x
  3. Step 3: Cross multiply
    3,778.45x = 5,214.17 × 2,184.98
  4. Step 4: Simplify right side
    3,778.45x = 11,392,836.56
  5. Step 5: Solve for x
    x = 11,392,836.56/3,778.45
  6. Step 6: Final answer
    x = 3,015.22

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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.