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Finding the Fourth Proportional to 3,903.31, 5,851.68 and 1,822.22

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Solution

The fourth proportional to 3,903.31, 5,851.68 and 1,822.22 is: 2,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.31 : 5,851.68 = 1,822.22 : x
  2. Step 2: Convert to fraction form
    3,903.31/5,851.68 = 1,822.22/x
  3. Step 3: Cross multiply
    3,903.31x = 5,851.68 × 1,822.22
  4. Step 4: Simplify right side
    3,903.31x = 10,663,048.33
  5. Step 5: Solve for x
    x = 10,663,048.33/3,903.31
  6. Step 6: Final answer
    x = 2,731.80

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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.