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Finding the Fourth Proportional to 3,948.47, 5,449.22 and 2,180.42

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Solution

The fourth proportional to 3,948.47, 5,449.22 and 2,180.42 is: 3,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.47 : 5,449.22 = 2,180.42 : x
  2. Step 2: Convert to fraction form
    3,948.47/5,449.22 = 2,180.42/x
  3. Step 3: Cross multiply
    3,948.47x = 5,449.22 × 2,180.42
  4. Step 4: Simplify right side
    3,948.47x = 11,881,577.37
  5. Step 5: Solve for x
    x = 11,881,577.37/3,948.47
  6. Step 6: Final answer
    x = 3,009.16

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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.