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Finding the Fourth Proportional to 3,747.61, 5,172.01 and 2,069.17

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Solution

The fourth proportional to 3,747.61, 5,172.01 and 2,069.17 is: 2,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.61 : 5,172.01 = 2,069.17 : x
  2. Step 2: Convert to fraction form
    3,747.61/5,172.01 = 2,069.17/x
  3. Step 3: Cross multiply
    3,747.61x = 5,172.01 × 2,069.17
  4. Step 4: Simplify right side
    3,747.61x = 10,701,767.93
  5. Step 5: Solve for x
    x = 10,701,767.93/3,747.61
  6. Step 6: Final answer
    x = 2,855.62

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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.