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Finding the Fourth Proportional to 3,935.97, 5,902.44 and 1,302.68

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Solution

The fourth proportional to 3,935.97, 5,902.44 and 1,302.68 is: 1,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.97 : 5,902.44 = 1,302.68 : x
  2. Step 2: Convert to fraction form
    3,935.97/5,902.44 = 1,302.68/x
  3. Step 3: Cross multiply
    3,935.97x = 5,902.44 × 1,302.68
  4. Step 4: Simplify right side
    3,935.97x = 7,688,961.03
  5. Step 5: Solve for x
    x = 7,688,961.03/3,935.97
  6. Step 6: Final answer
    x = 1,953.51

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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.