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Finding the Fourth Proportional to 3,699.72, 5,105.64 and 2,021.16

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Solution

The fourth proportional to 3,699.72, 5,105.64 and 2,021.16 is: 2,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.72 : 5,105.64 = 2,021.16 : x
  2. Step 2: Convert to fraction form
    3,699.72/5,105.64 = 2,021.16/x
  3. Step 3: Cross multiply
    3,699.72x = 5,105.64 × 2,021.16
  4. Step 4: Simplify right side
    3,699.72x = 10,319,315.34
  5. Step 5: Solve for x
    x = 10,319,315.34/3,699.72
  6. Step 6: Final answer
    x = 2,789.22

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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.