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Finding the Fourth Proportional to 3,380.31, 5,071.28 and 1,071.81

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Solution

The fourth proportional to 3,380.31, 5,071.28 and 1,071.81 is: 1,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.31 : 5,071.28 = 1,071.81 : x
  2. Step 2: Convert to fraction form
    3,380.31/5,071.28 = 1,071.81/x
  3. Step 3: Cross multiply
    3,380.31x = 5,071.28 × 1,071.81
  4. Step 4: Simplify right side
    3,380.31x = 5,435,448.62
  5. Step 5: Solve for x
    x = 5,435,448.62/3,380.31
  6. Step 6: Final answer
    x = 1,607.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.