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Finding the Fourth Proportional to 4,067.74, 5,613.74 and 2,299.65

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Solution

The fourth proportional to 4,067.74, 5,613.74 and 2,299.65 is: 3,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.74 : 5,613.74 = 2,299.65 : x
  2. Step 2: Convert to fraction form
    4,067.74/5,613.74 = 2,299.65/x
  3. Step 3: Cross multiply
    4,067.74x = 5,613.74 × 2,299.65
  4. Step 4: Simplify right side
    4,067.74x = 12,909,637.19
  5. Step 5: Solve for x
    x = 12,909,637.19/4,067.74
  6. Step 6: Final answer
    x = 3,173.66

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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.