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Finding the Fourth Proportional to 4,204, 5,791.04 and 3,931.84

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Solution

The fourth proportional to 4,204, 5,791.04 and 3,931.84 is: 5,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204 : 5,791.04 = 3,931.84 : x
  2. Step 2: Convert to fraction form
    4,204/5,791.04 = 3,931.84/x
  3. Step 3: Cross multiply
    4,204x = 5,791.04 × 3,931.84
  4. Step 4: Simplify right side
    4,204x = 22,769,442.71
  5. Step 5: Solve for x
    x = 22,769,442.71/4,204
  6. Step 6: Final answer
    x = 5,416.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.