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Finding the Fourth Proportional to 4,610.71, 6,362.54 and 2,514.43

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Solution

The fourth proportional to 4,610.71, 6,362.54 and 2,514.43 is: 3,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.71 : 6,362.54 = 2,514.43 : x
  2. Step 2: Convert to fraction form
    4,610.71/6,362.54 = 2,514.43/x
  3. Step 3: Cross multiply
    4,610.71x = 6,362.54 × 2,514.43
  4. Step 4: Simplify right side
    4,610.71x = 15,998,142.40
  5. Step 5: Solve for x
    x = 15,998,142.40/4,610.71
  6. Step 6: Final answer
    x = 3,469.78

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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.