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Finding the Fourth Proportional to 3,669.86, 5,505.60 and 1,721

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Solution

The fourth proportional to 3,669.86, 5,505.60 and 1,721 is: 2,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.86 : 5,505.60 = 1,721 : x
  2. Step 2: Convert to fraction form
    3,669.86/5,505.60 = 1,721/x
  3. Step 3: Cross multiply
    3,669.86x = 5,505.60 × 1,721
  4. Step 4: Simplify right side
    3,669.86x = 9,475,137.60
  5. Step 5: Solve for x
    x = 9,475,137.60/3,669.86
  6. Step 6: Final answer
    x = 2,581.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.