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Finding the Fourth Proportional to 3,701.99, 5,108.85 and 2,023.38

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Solution

The fourth proportional to 3,701.99, 5,108.85 and 2,023.38 is: 2,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.99 : 5,108.85 = 2,023.38 : x
  2. Step 2: Convert to fraction form
    3,701.99/5,108.85 = 2,023.38/x
  3. Step 3: Cross multiply
    3,701.99x = 5,108.85 × 2,023.38
  4. Step 4: Simplify right side
    3,701.99x = 10,337,144.91
  5. Step 5: Solve for x
    x = 10,337,144.91/3,701.99
  6. Step 6: Final answer
    x = 2,792.32

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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.