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Finding the Fourth Proportional to 3,868.73, 5,338.72 and 2,100.34

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Solution

The fourth proportional to 3,868.73, 5,338.72 and 2,100.34 is: 2,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.73 : 5,338.72 = 2,100.34 : x
  2. Step 2: Convert to fraction form
    3,868.73/5,338.72 = 2,100.34/x
  3. Step 3: Cross multiply
    3,868.73x = 5,338.72 × 2,100.34
  4. Step 4: Simplify right side
    3,868.73x = 11,213,127.16
  5. Step 5: Solve for x
    x = 11,213,127.16/3,868.73
  6. Step 6: Final answer
    x = 2,898.40

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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.