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Finding the Fourth Proportional to 5,769.92, 7,963.28 and 3,411.68

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Solution

The fourth proportional to 5,769.92, 7,963.28 and 3,411.68 is: 4,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.92 : 7,963.28 = 3,411.68 : x
  2. Step 2: Convert to fraction form
    5,769.92/7,963.28 = 3,411.68/x
  3. Step 3: Cross multiply
    5,769.92x = 7,963.28 × 3,411.68
  4. Step 4: Simplify right side
    5,769.92x = 27,168,163.11
  5. Step 5: Solve for x
    x = 27,168,163.11/5,769.92
  6. Step 6: Final answer
    x = 4,708.59

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1.5x scale

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.