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Finding the Fourth Proportional to 4,896.72, 7,337.78 and 2,706.07

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Solution

The fourth proportional to 4,896.72, 7,337.78 and 2,706.07 is: 4,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.72 : 7,337.78 = 2,706.07 : x
  2. Step 2: Convert to fraction form
    4,896.72/7,337.78 = 2,706.07/x
  3. Step 3: Cross multiply
    4,896.72x = 7,337.78 × 2,706.07
  4. Step 4: Simplify right side
    4,896.72x = 19,856,546.32
  5. Step 5: Solve for x
    x = 19,856,546.32/4,896.72
  6. Step 6: Final answer
    x = 4,055.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.