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Finding the Fourth Proportional to 3,948.92, 5,449.54 and 2,156.40

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Solution

The fourth proportional to 3,948.92, 5,449.54 and 2,156.40 is: 2,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.92 : 5,449.54 = 2,156.40 : x
  2. Step 2: Convert to fraction form
    3,948.92/5,449.54 = 2,156.40/x
  3. Step 3: Cross multiply
    3,948.92x = 5,449.54 × 2,156.40
  4. Step 4: Simplify right side
    3,948.92x = 11,751,388.06
  5. Step 5: Solve for x
    x = 11,751,388.06/3,948.92
  6. Step 6: Final answer
    x = 2,975.85

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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.