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Finding the Fourth Proportional to 5,105.84, 7,704.72 and 4,922.78

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Solution

The fourth proportional to 5,105.84, 7,704.72 and 4,922.78 is: 7,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.84 : 7,704.72 = 4,922.78 : x
  2. Step 2: Convert to fraction form
    5,105.84/7,704.72 = 4,922.78/x
  3. Step 3: Cross multiply
    5,105.84x = 7,704.72 × 4,922.78
  4. Step 4: Simplify right side
    5,105.84x = 37,928,641.52
  5. Step 5: Solve for x
    x = 37,928,641.52/5,105.84
  6. Step 6: Final answer
    x = 7,428.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.