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Finding the Fourth Proportional to 5,769.29, 8,656.67 and 3,433.91

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Solution

The fourth proportional to 5,769.29, 8,656.67 and 3,433.91 is: 5,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.29 : 8,656.67 = 3,433.91 : x
  2. Step 2: Convert to fraction form
    5,769.29/8,656.67 = 3,433.91/x
  3. Step 3: Cross multiply
    5,769.29x = 8,656.67 × 3,433.91
  4. Step 4: Simplify right side
    5,769.29x = 29,726,165.23
  5. Step 5: Solve for x
    x = 29,726,165.23/5,769.29
  6. Step 6: Final answer
    x = 5,152.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.