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Finding the Fourth Proportional to 4,610.06, 6,361.92 and 2,514.20

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Solution

The fourth proportional to 4,610.06, 6,361.92 and 2,514.20 is: 3,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.06 : 6,361.92 = 2,514.20 : x
  2. Step 2: Convert to fraction form
    4,610.06/6,361.92 = 2,514.20/x
  3. Step 3: Cross multiply
    4,610.06x = 6,361.92 × 2,514.20
  4. Step 4: Simplify right side
    4,610.06x = 15,995,139.26
  5. Step 5: Solve for x
    x = 15,995,139.26/4,610.06
  6. Step 6: Final answer
    x = 3,469.62

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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.