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Finding the Fourth Proportional to 3,948.39, 5,448.84 and 2,180

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Solution

The fourth proportional to 3,948.39, 5,448.84 and 2,180 is: 3,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.39 : 5,448.84 = 2,180 : x
  2. Step 2: Convert to fraction form
    3,948.39/5,448.84 = 2,180/x
  3. Step 3: Cross multiply
    3,948.39x = 5,448.84 × 2,180
  4. Step 4: Simplify right side
    3,948.39x = 11,878,460.30
  5. Step 5: Solve for x
    x = 11,878,460.30/3,948.39
  6. Step 6: Final answer
    x = 3,008.44

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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.