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Finding the Fourth Proportional to 4,737.37, 6,537.45 and 2,747.80

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Solution

The fourth proportional to 4,737.37, 6,537.45 and 2,747.80 is: 3,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.37 : 6,537.45 = 2,747.80 : x
  2. Step 2: Convert to fraction form
    4,737.37/6,537.45 = 2,747.80/x
  3. Step 3: Cross multiply
    4,737.37x = 6,537.45 × 2,747.80
  4. Step 4: Simplify right side
    4,737.37x = 17,963,605.11
  5. Step 5: Solve for x
    x = 17,963,605.11/4,737.37
  6. Step 6: Final answer
    x = 3,791.89

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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.