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Finding the Fourth Proportional to 5,723.82, 7,898.67 and 3,334.23

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Solution

The fourth proportional to 5,723.82, 7,898.67 and 3,334.23 is: 4,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.82 : 7,898.67 = 3,334.23 : x
  2. Step 2: Convert to fraction form
    5,723.82/7,898.67 = 3,334.23/x
  3. Step 3: Cross multiply
    5,723.82x = 7,898.67 × 3,334.23
  4. Step 4: Simplify right side
    5,723.82x = 26,335,982.47
  5. Step 5: Solve for x
    x = 26,335,982.47/5,723.82
  6. Step 6: Final answer
    x = 4,601.12

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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.