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Finding the Fourth Proportional to 6,291.27, 8,682.14 and 3,639.51

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Solution

The fourth proportional to 6,291.27, 8,682.14 and 3,639.51 is: 5,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.27 : 8,682.14 = 3,639.51 : x
  2. Step 2: Convert to fraction form
    6,291.27/8,682.14 = 3,639.51/x
  3. Step 3: Cross multiply
    6,291.27x = 8,682.14 × 3,639.51
  4. Step 4: Simplify right side
    6,291.27x = 31,598,717.15
  5. Step 5: Solve for x
    x = 31,598,717.15/6,291.27
  6. Step 6: Final answer
    x = 5,022.63

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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.