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Finding the Fourth Proportional to 5,023.63, 6,936.03 and 3,138.09

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Solution

The fourth proportional to 5,023.63, 6,936.03 and 3,138.09 is: 4,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.63 : 6,936.03 = 3,138.09 : x
  2. Step 2: Convert to fraction form
    5,023.63/6,936.03 = 3,138.09/x
  3. Step 3: Cross multiply
    5,023.63x = 6,936.03 × 3,138.09
  4. Step 4: Simplify right side
    5,023.63x = 21,765,886.38
  5. Step 5: Solve for x
    x = 21,765,886.38/5,023.63
  6. Step 6: Final answer
    x = 4,332.70

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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.