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Finding the Fourth Proportional to 3,227.54, 4,842.94 and 2,407.46

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Solution

The fourth proportional to 3,227.54, 4,842.94 and 2,407.46 is: 3,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.54 : 4,842.94 = 2,407.46 : x
  2. Step 2: Convert to fraction form
    3,227.54/4,842.94 = 2,407.46/x
  3. Step 3: Cross multiply
    3,227.54x = 4,842.94 × 2,407.46
  4. Step 4: Simplify right side
    3,227.54x = 11,659,184.33
  5. Step 5: Solve for x
    x = 11,659,184.33/3,227.54
  6. Step 6: Final answer
    x = 3,612.41

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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.