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Finding the Fourth Proportional to 3,662.61, 5,490.83 and 1,196.09

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Solution

The fourth proportional to 3,662.61, 5,490.83 and 1,196.09 is: 1,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.61 : 5,490.83 = 1,196.09 : x
  2. Step 2: Convert to fraction form
    3,662.61/5,490.83 = 1,196.09/x
  3. Step 3: Cross multiply
    3,662.61x = 5,490.83 × 1,196.09
  4. Step 4: Simplify right side
    3,662.61x = 6,567,502.39
  5. Step 5: Solve for x
    x = 6,567,502.39/3,662.61
  6. Step 6: Final answer
    x = 1,793.12

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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.