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Finding the Fourth Proportional to 3,698.66, 5,550.86 and 1,752.23

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Solution

The fourth proportional to 3,698.66, 5,550.86 and 1,752.23 is: 2,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.66 : 5,550.86 = 1,752.23 : x
  2. Step 2: Convert to fraction form
    3,698.66/5,550.86 = 1,752.23/x
  3. Step 3: Cross multiply
    3,698.66x = 5,550.86 × 1,752.23
  4. Step 4: Simplify right side
    3,698.66x = 9,726,401.68
  5. Step 5: Solve for x
    x = 9,726,401.68/3,698.66
  6. Step 6: Final answer
    x = 2,629.71

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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.