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Finding the Fourth Proportional to 3,935.09, 5,902.95 and 1,013.39

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Solution

The fourth proportional to 3,935.09, 5,902.95 and 1,013.39 is: 1,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.09 : 5,902.95 = 1,013.39 : x
  2. Step 2: Convert to fraction form
    3,935.09/5,902.95 = 1,013.39/x
  3. Step 3: Cross multiply
    3,935.09x = 5,902.95 × 1,013.39
  4. Step 4: Simplify right side
    3,935.09x = 5,981,990.50
  5. Step 5: Solve for x
    x = 5,981,990.50/3,935.09
  6. Step 6: Final answer
    x = 1,520.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.