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Finding the Fourth Proportional to 3,907.30, 5,392.02 and 2,138.80

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Solution

The fourth proportional to 3,907.30, 5,392.02 and 2,138.80 is: 2,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.30 : 5,392.02 = 2,138.80 : x
  2. Step 2: Convert to fraction form
    3,907.30/5,392.02 = 2,138.80/x
  3. Step 3: Cross multiply
    3,907.30x = 5,392.02 × 2,138.80
  4. Step 4: Simplify right side
    3,907.30x = 11,532,452.38
  5. Step 5: Solve for x
    x = 11,532,452.38/3,907.30
  6. Step 6: Final answer
    x = 2,951.51

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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.