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Finding the Fourth Proportional to 3,868.75, 5,338.88 and 2,100.37

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Solution

The fourth proportional to 3,868.75, 5,338.88 and 2,100.37 is: 2,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.75 : 5,338.88 = 2,100.37 : x
  2. Step 2: Convert to fraction form
    3,868.75/5,338.88 = 2,100.37/x
  3. Step 3: Cross multiply
    3,868.75x = 5,338.88 × 2,100.37
  4. Step 4: Simplify right side
    3,868.75x = 11,213,623.39
  5. Step 5: Solve for x
    x = 11,213,623.39/3,868.75
  6. Step 6: Final answer
    x = 2,898.51

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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.