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Finding the Fourth Proportional to 5,805.92, 8,011.84 and 3,446.56

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Solution

The fourth proportional to 5,805.92, 8,011.84 and 3,446.56 is: 4,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.92 : 8,011.84 = 3,446.56 : x
  2. Step 2: Convert to fraction form
    5,805.92/8,011.84 = 3,446.56/x
  3. Step 3: Cross multiply
    5,805.92x = 8,011.84 × 3,446.56
  4. Step 4: Simplify right side
    5,805.92x = 27,613,287.27
  5. Step 5: Solve for x
    x = 27,613,287.27/5,805.92
  6. Step 6: Final answer
    x = 4,756.06

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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.