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Finding the Fourth Proportional to 3,461.31, 4,768.02 and 2,514.33

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Solution

The fourth proportional to 3,461.31, 4,768.02 and 2,514.33 is: 3,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.31 : 4,768.02 = 2,514.33 : x
  2. Step 2: Convert to fraction form
    3,461.31/4,768.02 = 2,514.33/x
  3. Step 3: Cross multiply
    3,461.31x = 4,768.02 × 2,514.33
  4. Step 4: Simplify right side
    3,461.31x = 11,988,375.73
  5. Step 5: Solve for x
    x = 11,988,375.73/3,461.31
  6. Step 6: Final answer
    x = 3,463.54

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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.