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Finding the Fourth Proportional to 3,399.97, 5,099.97 and 935.05

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Solution

The fourth proportional to 3,399.97, 5,099.97 and 935.05 is: 1,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.97 : 5,099.97 = 935.05 : x
  2. Step 2: Convert to fraction form
    3,399.97/5,099.97 = 935.05/x
  3. Step 3: Cross multiply
    3,399.97x = 5,099.97 × 935.05
  4. Step 4: Simplify right side
    3,399.97x = 4,768,726.95
  5. Step 5: Solve for x
    x = 4,768,726.95/3,399.97
  6. Step 6: Final answer
    x = 1,402.58

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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.