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Finding the Fourth Proportional to 3,469.82, 4,788.30 and 1,977.82

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Solution

The fourth proportional to 3,469.82, 4,788.30 and 1,977.82 is: 2,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.82 : 4,788.30 = 1,977.82 : x
  2. Step 2: Convert to fraction form
    3,469.82/4,788.30 = 1,977.82/x
  3. Step 3: Cross multiply
    3,469.82x = 4,788.30 × 1,977.82
  4. Step 4: Simplify right side
    3,469.82x = 9,470,395.51
  5. Step 5: Solve for x
    x = 9,470,395.51/3,469.82
  6. Step 6: Final answer
    x = 2,729.36

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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.