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Finding the Fourth Proportional to 5,257.71, 7,254.63 and 3,161.97

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Solution

The fourth proportional to 5,257.71, 7,254.63 and 3,161.97 is: 4,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.71 : 7,254.63 = 3,161.97 : x
  2. Step 2: Convert to fraction form
    5,257.71/7,254.63 = 3,161.97/x
  3. Step 3: Cross multiply
    5,257.71x = 7,254.63 × 3,161.97
  4. Step 4: Simplify right side
    5,257.71x = 22,938,922.42
  5. Step 5: Solve for x
    x = 22,938,922.42/5,257.71
  6. Step 6: Final answer
    x = 4,362.91

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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.