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Finding the Fourth Proportional to 4,977.78, 6,865.01 and 3,208.82

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Solution

The fourth proportional to 4,977.78, 6,865.01 and 3,208.82 is: 4,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.78 : 6,865.01 = 3,208.82 : x
  2. Step 2: Convert to fraction form
    4,977.78/6,865.01 = 3,208.82/x
  3. Step 3: Cross multiply
    4,977.78x = 6,865.01 × 3,208.82
  4. Step 4: Simplify right side
    4,977.78x = 22,028,581.39
  5. Step 5: Solve for x
    x = 22,028,581.39/4,977.78
  6. Step 6: Final answer
    x = 4,425.38

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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.