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Finding the Fourth Proportional to 3,371.14, 5,057.14 and 1,150.40

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Solution

The fourth proportional to 3,371.14, 5,057.14 and 1,150.40 is: 1,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.14 : 5,057.14 = 1,150.40 : x
  2. Step 2: Convert to fraction form
    3,371.14/5,057.14 = 1,150.40/x
  3. Step 3: Cross multiply
    3,371.14x = 5,057.14 × 1,150.40
  4. Step 4: Simplify right side
    3,371.14x = 5,817,712.77
  5. Step 5: Solve for x
    x = 5,817,712.77/3,371.14
  6. Step 6: Final answer
    x = 1,725.74

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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.