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Finding the Fourth Proportional to 3,777.88, 5,211.96 and 2,184.24

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Solution

The fourth proportional to 3,777.88, 5,211.96 and 2,184.24 is: 3,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.88 : 5,211.96 = 2,184.24 : x
  2. Step 2: Convert to fraction form
    3,777.88/5,211.96 = 2,184.24/x
  3. Step 3: Cross multiply
    3,777.88x = 5,211.96 × 2,184.24
  4. Step 4: Simplify right side
    3,777.88x = 11,384,171.51
  5. Step 5: Solve for x
    x = 11,384,171.51/3,777.88
  6. Step 6: Final answer
    x = 3,013.38

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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.