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Finding the Fourth Proportional to 3,380.59, 5,071.11 and 1,299.90

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Solution

The fourth proportional to 3,380.59, 5,071.11 and 1,299.90 is: 1,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.59 : 5,071.11 = 1,299.90 : x
  2. Step 2: Convert to fraction form
    3,380.59/5,071.11 = 1,299.90/x
  3. Step 3: Cross multiply
    3,380.59x = 5,071.11 × 1,299.90
  4. Step 4: Simplify right side
    3,380.59x = 6,591,921.51
  5. Step 5: Solve for x
    x = 6,591,921.51/3,380.59
  6. Step 6: Final answer
    x = 1,949.93

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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.