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Finding the Fourth Proportional to 5,769.29, 7,960.94 and 3,532.47

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Solution

The fourth proportional to 5,769.29, 7,960.94 and 3,532.47 is: 4,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.29 : 7,960.94 = 3,532.47 : x
  2. Step 2: Convert to fraction form
    5,769.29/7,960.94 = 3,532.47/x
  3. Step 3: Cross multiply
    5,769.29x = 7,960.94 × 3,532.47
  4. Step 4: Simplify right side
    5,769.29x = 28,121,781.72
  5. Step 5: Solve for x
    x = 28,121,781.72/5,769.29
  6. Step 6: Final answer
    x = 4,874.40

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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.