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Finding the Fourth Proportional to 6,297.05, 8,690.55 and 3,644.30

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Solution

The fourth proportional to 6,297.05, 8,690.55 and 3,644.30 is: 5,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.05 : 8,690.55 = 3,644.30 : x
  2. Step 2: Convert to fraction form
    6,297.05/8,690.55 = 3,644.30/x
  3. Step 3: Cross multiply
    6,297.05x = 8,690.55 × 3,644.30
  4. Step 4: Simplify right side
    6,297.05x = 31,670,971.37
  5. Step 5: Solve for x
    x = 31,670,971.37/6,297.05
  6. Step 6: Final answer
    x = 5,029.49

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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.