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Finding the Fourth Proportional to 4,737.52, 6,537.36 and 2,747.44

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Solution

The fourth proportional to 4,737.52, 6,537.36 and 2,747.44 is: 3,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.52 : 6,537.36 = 2,747.44 : x
  2. Step 2: Convert to fraction form
    4,737.52/6,537.36 = 2,747.44/x
  3. Step 3: Cross multiply
    4,737.52x = 6,537.36 × 2,747.44
  4. Step 4: Simplify right side
    4,737.52x = 17,961,004.36
  5. Step 5: Solve for x
    x = 17,961,004.36/4,737.52
  6. Step 6: Final answer
    x = 3,791.23

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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.