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Finding the Fourth Proportional to 5,769.75, 7,962.16 and 3,411.44

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Solution

The fourth proportional to 5,769.75, 7,962.16 and 3,411.44 is: 4,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.75 : 7,962.16 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    5,769.75/7,962.16 = 3,411.44/x
  3. Step 3: Cross multiply
    5,769.75x = 7,962.16 × 3,411.44
  4. Step 4: Simplify right side
    5,769.75x = 27,162,431.11
  5. Step 5: Solve for x
    x = 27,162,431.11/5,769.75
  6. Step 6: Final answer
    x = 4,707.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.