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Finding the Fourth Proportional to 3,431.73, 5,139.96 and 2,646

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Solution

The fourth proportional to 3,431.73, 5,139.96 and 2,646 is: 3,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.73 : 5,139.96 = 2,646 : x
  2. Step 2: Convert to fraction form
    3,431.73/5,139.96 = 2,646/x
  3. Step 3: Cross multiply
    3,431.73x = 5,139.96 × 2,646
  4. Step 4: Simplify right side
    3,431.73x = 13,600,324.24
  5. Step 5: Solve for x
    x = 13,600,324.24/3,431.73
  6. Step 6: Final answer
    x = 3,963.11

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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.