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Finding the Fourth Proportional to 3,772.14, 5,204.93 and 2,093.28

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Solution

The fourth proportional to 3,772.14, 5,204.93 and 2,093.28 is: 2,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.14 : 5,204.93 = 2,093.28 : x
  2. Step 2: Convert to fraction form
    3,772.14/5,204.93 = 2,093.28/x
  3. Step 3: Cross multiply
    3,772.14x = 5,204.93 × 2,093.28
  4. Step 4: Simplify right side
    3,772.14x = 10,895,365.40
  5. Step 5: Solve for x
    x = 10,895,365.40/3,772.14
  6. Step 6: Final answer
    x = 2,888.38

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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.