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Finding the Fourth Proportional to 3,977, 5,488.26 and 2,208.89

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Solution

The fourth proportional to 3,977, 5,488.26 and 2,208.89 is: 3,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977 : 5,488.26 = 2,208.89 : x
  2. Step 2: Convert to fraction form
    3,977/5,488.26 = 2,208.89/x
  3. Step 3: Cross multiply
    3,977x = 5,488.26 × 2,208.89
  4. Step 4: Simplify right side
    3,977x = 12,122,962.63
  5. Step 5: Solve for x
    x = 12,122,962.63/3,977
  6. Step 6: Final answer
    x = 3,048.27

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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.