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Finding the Fourth Proportional to 3,977.56, 5,926.37 and 3,754

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Solution

The fourth proportional to 3,977.56, 5,926.37 and 3,754 is: 5,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.56 : 5,926.37 = 3,754 : x
  2. Step 2: Convert to fraction form
    3,977.56/5,926.37 = 3,754/x
  3. Step 3: Cross multiply
    3,977.56x = 5,926.37 × 3,754
  4. Step 4: Simplify right side
    3,977.56x = 22,247,592.98
  5. Step 5: Solve for x
    x = 22,247,592.98/3,977.56
  6. Step 6: Final answer
    x = 5,593.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.