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Finding the Fourth Proportional to 5,728.15, 8,593.15 and 2,029.57

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Solution

The fourth proportional to 5,728.15, 8,593.15 and 2,029.57 is: 3,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.15 : 8,593.15 = 2,029.57 : x
  2. Step 2: Convert to fraction form
    5,728.15/8,593.15 = 2,029.57/x
  3. Step 3: Cross multiply
    5,728.15x = 8,593.15 × 2,029.57
  4. Step 4: Simplify right side
    5,728.15x = 17,440,399.45
  5. Step 5: Solve for x
    x = 17,440,399.45/5,728.15
  6. Step 6: Final answer
    x = 3,044.69

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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.