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Finding the Fourth Proportional to 3,907.59, 5,392.38 and 2,139.09

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Solution

The fourth proportional to 3,907.59, 5,392.38 and 2,139.09 is: 2,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.59 : 5,392.38 = 2,139.09 : x
  2. Step 2: Convert to fraction form
    3,907.59/5,392.38 = 2,139.09/x
  3. Step 3: Cross multiply
    3,907.59x = 5,392.38 × 2,139.09
  4. Step 4: Simplify right side
    3,907.59x = 11,534,786.13
  5. Step 5: Solve for x
    x = 11,534,786.13/3,907.59
  6. Step 6: Final answer
    x = 2,951.89

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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.