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Finding the Fourth Proportional to 3,468.96, 4,788 and 1,977.75

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Solution

The fourth proportional to 3,468.96, 4,788 and 1,977.75 is: 2,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.96 : 4,788 = 1,977.75 : x
  2. Step 2: Convert to fraction form
    3,468.96/4,788 = 1,977.75/x
  3. Step 3: Cross multiply
    3,468.96x = 4,788 × 1,977.75
  4. Step 4: Simplify right side
    3,468.96x = 9,469,467
  5. Step 5: Solve for x
    x = 9,469,467/3,468.96
  6. Step 6: Final answer
    x = 2,729.77

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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.