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Finding the Fourth Proportional to 3,380.45, 5,071.46 and 1,071.95

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Solution

The fourth proportional to 3,380.45, 5,071.46 and 1,071.95 is: 1,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.45 : 5,071.46 = 1,071.95 : x
  2. Step 2: Convert to fraction form
    3,380.45/5,071.46 = 1,071.95/x
  3. Step 3: Cross multiply
    3,380.45x = 5,071.46 × 1,071.95
  4. Step 4: Simplify right side
    3,380.45x = 5,436,328.87
  5. Step 5: Solve for x
    x = 5,436,328.87/3,380.45
  6. Step 6: Final answer
    x = 1,608.17

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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.