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Finding the Fourth Proportional to 6,297.40, 8,691.06 and 3,644.68

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Solution

The fourth proportional to 6,297.40, 8,691.06 and 3,644.68 is: 5,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.40 : 8,691.06 = 3,644.68 : x
  2. Step 2: Convert to fraction form
    6,297.40/8,691.06 = 3,644.68/x
  3. Step 3: Cross multiply
    6,297.40x = 8,691.06 × 3,644.68
  4. Step 4: Simplify right side
    6,297.40x = 31,676,132.56
  5. Step 5: Solve for x
    x = 31,676,132.56/6,297.40
  6. Step 6: Final answer
    x = 5,030.03

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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.