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Finding the Fourth Proportional to 3,935.37, 5,902.90 and 1,013.70

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Solution

The fourth proportional to 3,935.37, 5,902.90 and 1,013.70 is: 1,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.37 : 5,902.90 = 1,013.70 : x
  2. Step 2: Convert to fraction form
    3,935.37/5,902.90 = 1,013.70/x
  3. Step 3: Cross multiply
    3,935.37x = 5,902.90 × 1,013.70
  4. Step 4: Simplify right side
    3,935.37x = 5,983,769.73
  5. Step 5: Solve for x
    x = 5,983,769.73/3,935.37
  6. Step 6: Final answer
    x = 1,520.51

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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.