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Finding the Fourth Proportional to 3,699.26, 5,550.50 and 1,619.78

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Solution

The fourth proportional to 3,699.26, 5,550.50 and 1,619.78 is: 2,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.26 : 5,550.50 = 1,619.78 : x
  2. Step 2: Convert to fraction form
    3,699.26/5,550.50 = 1,619.78/x
  3. Step 3: Cross multiply
    3,699.26x = 5,550.50 × 1,619.78
  4. Step 4: Simplify right side
    3,699.26x = 8,990,606.82
  5. Step 5: Solve for x
    x = 8,990,606.82/3,699.26
  6. Step 6: Final answer
    x = 2,430.38

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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.