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Finding the Fourth Proportional to 6,297.36, 8,689.80 and 3,643.92

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Solution

The fourth proportional to 6,297.36, 8,689.80 and 3,643.92 is: 5,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.36 : 8,689.80 = 3,643.92 : x
  2. Step 2: Convert to fraction form
    6,297.36/8,689.80 = 3,643.92/x
  3. Step 3: Cross multiply
    6,297.36x = 8,689.80 × 3,643.92
  4. Step 4: Simplify right side
    6,297.36x = 31,664,936.02
  5. Step 5: Solve for x
    x = 31,664,936.02/6,297.36
  6. Step 6: Final answer
    x = 5,028.29

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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.