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Finding the Fourth Proportional to 4,883.68, 6,737.78 and 2,758.94

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Solution

The fourth proportional to 4,883.68, 6,737.78 and 2,758.94 is: 3,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.68 : 6,737.78 = 2,758.94 : x
  2. Step 2: Convert to fraction form
    4,883.68/6,737.78 = 2,758.94/x
  3. Step 3: Cross multiply
    4,883.68x = 6,737.78 × 2,758.94
  4. Step 4: Simplify right side
    4,883.68x = 18,589,130.75
  5. Step 5: Solve for x
    x = 18,589,130.75/4,883.68
  6. Step 6: Final answer
    x = 3,806.38

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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.