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Finding the Fourth Proportional to 5,769.44, 7,961.24 and 3,411.12

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Solution

The fourth proportional to 5,769.44, 7,961.24 and 3,411.12 is: 4,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.44 : 7,961.24 = 3,411.12 : x
  2. Step 2: Convert to fraction form
    5,769.44/7,961.24 = 3,411.12/x
  3. Step 3: Cross multiply
    5,769.44x = 7,961.24 × 3,411.12
  4. Step 4: Simplify right side
    5,769.44x = 27,156,744.99
  5. Step 5: Solve for x
    x = 27,156,744.99/5,769.44
  6. Step 6: Final answer
    x = 4,707.00

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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.