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Finding the Fourth Proportional to 3,948.06, 5,448.06 and 2,179.68

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Solution

The fourth proportional to 3,948.06, 5,448.06 and 2,179.68 is: 3,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.06 : 5,448.06 = 2,179.68 : x
  2. Step 2: Convert to fraction form
    3,948.06/5,448.06 = 2,179.68/x
  3. Step 3: Cross multiply
    3,948.06x = 5,448.06 × 2,179.68
  4. Step 4: Simplify right side
    3,948.06x = 11,875,027.42
  5. Step 5: Solve for x
    x = 11,875,027.42/3,948.06
  6. Step 6: Final answer
    x = 3,007.81

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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.