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Finding the Fourth Proportional to 5,768.72, 7,959.68 and 3,411.24

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Solution

The fourth proportional to 5,768.72, 7,959.68 and 3,411.24 is: 4,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.72 : 7,959.68 = 3,411.24 : x
  2. Step 2: Convert to fraction form
    5,768.72/7,959.68 = 3,411.24/x
  3. Step 3: Cross multiply
    5,768.72x = 7,959.68 × 3,411.24
  4. Step 4: Simplify right side
    5,768.72x = 27,152,378.80
  5. Step 5: Solve for x
    x = 27,152,378.80/5,768.72
  6. Step 6: Final answer
    x = 4,706.83

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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.