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Finding the Fourth Proportional to 3,881.40, 5,818.83 and 3,221.42

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Solution

The fourth proportional to 3,881.40, 5,818.83 and 3,221.42 is: 4,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.40 : 5,818.83 = 3,221.42 : x
  2. Step 2: Convert to fraction form
    3,881.40/5,818.83 = 3,221.42/x
  3. Step 3: Cross multiply
    3,881.40x = 5,818.83 × 3,221.42
  4. Step 4: Simplify right side
    3,881.40x = 18,744,866.24
  5. Step 5: Solve for x
    x = 18,744,866.24/3,881.40
  6. Step 6: Final answer
    x = 4,829.41

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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.