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Finding the Fourth Proportional to 3,699.93, 5,105.89 and 2,021.32

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Solution

The fourth proportional to 3,699.93, 5,105.89 and 2,021.32 is: 2,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.93 : 5,105.89 = 2,021.32 : x
  2. Step 2: Convert to fraction form
    3,699.93/5,105.89 = 2,021.32/x
  3. Step 3: Cross multiply
    3,699.93x = 5,105.89 × 2,021.32
  4. Step 4: Simplify right side
    3,699.93x = 10,320,637.57
  5. Step 5: Solve for x
    x = 10,320,637.57/3,699.93
  6. Step 6: Final answer
    x = 2,789.41

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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.