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Finding the Fourth Proportional to 3,596.13, 4,965.17 and 2,252.27

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Solution

The fourth proportional to 3,596.13, 4,965.17 and 2,252.27 is: 3,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.13 : 4,965.17 = 2,252.27 : x
  2. Step 2: Convert to fraction form
    3,596.13/4,965.17 = 2,252.27/x
  3. Step 3: Cross multiply
    3,596.13x = 4,965.17 × 2,252.27
  4. Step 4: Simplify right side
    3,596.13x = 11,182,904.59
  5. Step 5: Solve for x
    x = 11,182,904.59/3,596.13
  6. Step 6: Final answer
    x = 3,109.71

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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.