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Finding the Fourth Proportional to 3,939.84, 5,939.64 and 3,728.16

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Solution

The fourth proportional to 3,939.84, 5,939.64 and 3,728.16 is: 5,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.84 : 5,939.64 = 3,728.16 : x
  2. Step 2: Convert to fraction form
    3,939.84/5,939.64 = 3,728.16/x
  3. Step 3: Cross multiply
    3,939.84x = 5,939.64 × 3,728.16
  4. Step 4: Simplify right side
    3,939.84x = 22,143,928.26
  5. Step 5: Solve for x
    x = 22,143,928.26/3,939.84
  6. Step 6: Final answer
    x = 5,620.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.