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Finding the Fourth Proportional to 3,907.17, 5,391.90 and 2,138.88

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Solution

The fourth proportional to 3,907.17, 5,391.90 and 2,138.88 is: 2,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.17 : 5,391.90 = 2,138.88 : x
  2. Step 2: Convert to fraction form
    3,907.17/5,391.90 = 2,138.88/x
  3. Step 3: Cross multiply
    3,907.17x = 5,391.90 × 2,138.88
  4. Step 4: Simplify right side
    3,907.17x = 11,532,616.38
  5. Step 5: Solve for x
    x = 11,532,616.38/3,907.17
  6. Step 6: Final answer
    x = 2,951.66

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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.