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Finding the Fourth Proportional to 3,691.67, 5,094.53 and 2,199.65

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Solution

The fourth proportional to 3,691.67, 5,094.53 and 2,199.65 is: 3,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.67 : 5,094.53 = 2,199.65 : x
  2. Step 2: Convert to fraction form
    3,691.67/5,094.53 = 2,199.65/x
  3. Step 3: Cross multiply
    3,691.67x = 5,094.53 × 2,199.65
  4. Step 4: Simplify right side
    3,691.67x = 11,206,182.91
  5. Step 5: Solve for x
    x = 11,206,182.91/3,691.67
  6. Step 6: Final answer
    x = 3,035.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.