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Finding the Fourth Proportional to 3,699.91, 5,105.77 and 2,021.23

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Solution

The fourth proportional to 3,699.91, 5,105.77 and 2,021.23 is: 2,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.91 : 5,105.77 = 2,021.23 : x
  2. Step 2: Convert to fraction form
    3,699.91/5,105.77 = 2,021.23/x
  3. Step 3: Cross multiply
    3,699.91x = 5,105.77 × 2,021.23
  4. Step 4: Simplify right side
    3,699.91x = 10,319,935.50
  5. Step 5: Solve for x
    x = 10,319,935.50/3,699.91
  6. Step 6: Final answer
    x = 2,789.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.