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Finding the Fourth Proportional to 3,907.62, 5,392.50 and 2,139.24

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Solution

The fourth proportional to 3,907.62, 5,392.50 and 2,139.24 is: 2,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.62 : 5,392.50 = 2,139.24 : x
  2. Step 2: Convert to fraction form
    3,907.62/5,392.50 = 2,139.24/x
  3. Step 3: Cross multiply
    3,907.62x = 5,392.50 × 2,139.24
  4. Step 4: Simplify right side
    3,907.62x = 11,535,851.70
  5. Step 5: Solve for x
    x = 11,535,851.70/3,907.62
  6. Step 6: Final answer
    x = 2,952.14

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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.