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Finding the Fourth Proportional to 3,747.50, 5,171.78 and 2,068.91

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Solution

The fourth proportional to 3,747.50, 5,171.78 and 2,068.91 is: 2,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.50 : 5,171.78 = 2,068.91 : x
  2. Step 2: Convert to fraction form
    3,747.50/5,171.78 = 2,068.91/x
  3. Step 3: Cross multiply
    3,747.50x = 5,171.78 × 2,068.91
  4. Step 4: Simplify right side
    3,747.50x = 10,699,946.07
  5. Step 5: Solve for x
    x = 10,699,946.07/3,747.50
  6. Step 6: Final answer
    x = 2,855.22

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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.