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Finding the Fourth Proportional to 3,818.39, 5,722.11 and 2,171.46

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Solution

The fourth proportional to 3,818.39, 5,722.11 and 2,171.46 is: 3,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.39 : 5,722.11 = 2,171.46 : x
  2. Step 2: Convert to fraction form
    3,818.39/5,722.11 = 2,171.46/x
  3. Step 3: Cross multiply
    3,818.39x = 5,722.11 × 2,171.46
  4. Step 4: Simplify right side
    3,818.39x = 12,425,332.98
  5. Step 5: Solve for x
    x = 12,425,332.98/3,818.39
  6. Step 6: Final answer
    x = 3,254.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.