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Finding the Fourth Proportional to 3,865.65, 5,334.57 and 2,097.27

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Solution

The fourth proportional to 3,865.65, 5,334.57 and 2,097.27 is: 2,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.65 : 5,334.57 = 2,097.27 : x
  2. Step 2: Convert to fraction form
    3,865.65/5,334.57 = 2,097.27/x
  3. Step 3: Cross multiply
    3,865.65x = 5,334.57 × 2,097.27
  4. Step 4: Simplify right side
    3,865.65x = 11,188,033.62
  5. Step 5: Solve for x
    x = 11,188,033.62/3,865.65
  6. Step 6: Final answer
    x = 2,894.22

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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.