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Finding the Fourth Proportional to 3,977.44, 5,488.08 and 3,614.56

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Solution

The fourth proportional to 3,977.44, 5,488.08 and 3,614.56 is: 4,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.44 : 5,488.08 = 3,614.56 : x
  2. Step 2: Convert to fraction form
    3,977.44/5,488.08 = 3,614.56/x
  3. Step 3: Cross multiply
    3,977.44x = 5,488.08 × 3,614.56
  4. Step 4: Simplify right side
    3,977.44x = 19,836,994.44
  5. Step 5: Solve for x
    x = 19,836,994.44/3,977.44
  6. Step 6: Final answer
    x = 4,987.38

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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.