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Finding the Fourth Proportional to 4,536.82, 6,262.14 and 2,965.18

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Solution

The fourth proportional to 4,536.82, 6,262.14 and 2,965.18 is: 4,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.82 : 6,262.14 = 2,965.18 : x
  2. Step 2: Convert to fraction form
    4,536.82/6,262.14 = 2,965.18/x
  3. Step 3: Cross multiply
    4,536.82x = 6,262.14 × 2,965.18
  4. Step 4: Simplify right side
    4,536.82x = 18,568,372.29
  5. Step 5: Solve for x
    x = 18,568,372.29/4,536.82
  6. Step 6: Final answer
    x = 4,092.82

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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.