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Finding the Fourth Proportional to 3,921.78, 5,411.82 and 2,330.22

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Solution

The fourth proportional to 3,921.78, 5,411.82 and 2,330.22 is: 3,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.78 : 5,411.82 = 2,330.22 : x
  2. Step 2: Convert to fraction form
    3,921.78/5,411.82 = 2,330.22/x
  3. Step 3: Cross multiply
    3,921.78x = 5,411.82 × 2,330.22
  4. Step 4: Simplify right side
    3,921.78x = 12,610,731.20
  5. Step 5: Solve for x
    x = 12,610,731.20/3,921.78
  6. Step 6: Final answer
    x = 3,215.56

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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.