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Finding the Fourth Proportional to 5,769.24, 7,961.63 and 3,411.38

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Solution

The fourth proportional to 5,769.24, 7,961.63 and 3,411.38 is: 4,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.24 : 7,961.63 = 3,411.38 : x
  2. Step 2: Convert to fraction form
    5,769.24/7,961.63 = 3,411.38/x
  3. Step 3: Cross multiply
    5,769.24x = 7,961.63 × 3,411.38
  4. Step 4: Simplify right side
    5,769.24x = 27,160,088.48
  5. Step 5: Solve for x
    x = 27,160,088.48/5,769.24
  6. Step 6: Final answer
    x = 4,707.74

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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.