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Finding the Fourth Proportional to 6,297.24, 8,689.50 and 3,644.22

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Solution

The fourth proportional to 6,297.24, 8,689.50 and 3,644.22 is: 5,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.24 : 8,689.50 = 3,644.22 : x
  2. Step 2: Convert to fraction form
    6,297.24/8,689.50 = 3,644.22/x
  3. Step 3: Cross multiply
    6,297.24x = 8,689.50 × 3,644.22
  4. Step 4: Simplify right side
    6,297.24x = 31,666,449.69
  5. Step 5: Solve for x
    x = 31,666,449.69/6,297.24
  6. Step 6: Final answer
    x = 5,028.62

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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.