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Finding the Fourth Proportional to 3,868.70, 5,338.93 and 2,190.08

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Solution

The fourth proportional to 3,868.70, 5,338.93 and 2,190.08 is: 3,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.70 : 5,338.93 = 2,190.08 : x
  2. Step 2: Convert to fraction form
    3,868.70/5,338.93 = 2,190.08/x
  3. Step 3: Cross multiply
    3,868.70x = 5,338.93 × 2,190.08
  4. Step 4: Simplify right side
    3,868.70x = 11,692,665.76
  5. Step 5: Solve for x
    x = 11,692,665.76/3,868.70
  6. Step 6: Final answer
    x = 3,022.38

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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.