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Finding the Fourth Proportional to 3,865.71, 5,334.72 and 2,097.33

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Solution

The fourth proportional to 3,865.71, 5,334.72 and 2,097.33 is: 2,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.71 : 5,334.72 = 2,097.33 : x
  2. Step 2: Convert to fraction form
    3,865.71/5,334.72 = 2,097.33/x
  3. Step 3: Cross multiply
    3,865.71x = 5,334.72 × 2,097.33
  4. Step 4: Simplify right side
    3,865.71x = 11,188,668.30
  5. Step 5: Solve for x
    x = 11,188,668.30/3,865.71
  6. Step 6: Final answer
    x = 2,894.34

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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.