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Finding the Fourth Proportional to 3,821.78, 5,731.31 and 1,481.01

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Solution

The fourth proportional to 3,821.78, 5,731.31 and 1,481.01 is: 2,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.78 : 5,731.31 = 1,481.01 : x
  2. Step 2: Convert to fraction form
    3,821.78/5,731.31 = 1,481.01/x
  3. Step 3: Cross multiply
    3,821.78x = 5,731.31 × 1,481.01
  4. Step 4: Simplify right side
    3,821.78x = 8,488,117.42
  5. Step 5: Solve for x
    x = 8,488,117.42/3,821.78
  6. Step 6: Final answer
    x = 2,220.98

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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.