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Finding the Fourth Proportional to 3,777.98, 5,668.83 and 1,699.46

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Solution

The fourth proportional to 3,777.98, 5,668.83 and 1,699.46 is: 2,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.98 : 5,668.83 = 1,699.46 : x
  2. Step 2: Convert to fraction form
    3,777.98/5,668.83 = 1,699.46/x
  3. Step 3: Cross multiply
    3,777.98x = 5,668.83 × 1,699.46
  4. Step 4: Simplify right side
    3,777.98x = 9,633,921.49
  5. Step 5: Solve for x
    x = 9,633,921.49/3,777.98
  6. Step 6: Final answer
    x = 2,550.02

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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.