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Finding the Fourth Proportional to 3,699.82, 5,550.66 and 1,102.76

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Solution

The fourth proportional to 3,699.82, 5,550.66 and 1,102.76 is: 1,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.82 : 5,550.66 = 1,102.76 : x
  2. Step 2: Convert to fraction form
    3,699.82/5,550.66 = 1,102.76/x
  3. Step 3: Cross multiply
    3,699.82x = 5,550.66 × 1,102.76
  4. Step 4: Simplify right side
    3,699.82x = 6,121,045.82
  5. Step 5: Solve for x
    x = 6,121,045.82/3,699.82
  6. Step 6: Final answer
    x = 1,654.42

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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.