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Finding the Fourth Proportional to 5,694.10, 7,855.05 and 4,906.78

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Solution

The fourth proportional to 5,694.10, 7,855.05 and 4,906.78 is: 6,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.10 : 7,855.05 = 4,906.78 : x
  2. Step 2: Convert to fraction form
    5,694.10/7,855.05 = 4,906.78/x
  3. Step 3: Cross multiply
    5,694.10x = 7,855.05 × 4,906.78
  4. Step 4: Simplify right side
    5,694.10x = 38,543,002.24
  5. Step 5: Solve for x
    x = 38,543,002.24/5,694.10
  6. Step 6: Final answer
    x = 6,768.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.