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Finding the Fourth Proportional to 6,297.21, 8,690.17 and 3,464.59

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Solution

The fourth proportional to 6,297.21, 8,690.17 and 3,464.59 is: 4,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.21 : 8,690.17 = 3,464.59 : x
  2. Step 2: Convert to fraction form
    6,297.21/8,690.17 = 3,464.59/x
  3. Step 3: Cross multiply
    6,297.21x = 8,690.17 × 3,464.59
  4. Step 4: Simplify right side
    6,297.21x = 30,107,868.48
  5. Step 5: Solve for x
    x = 30,107,868.48/6,297.21
  6. Step 6: Final answer
    x = 4,781.14

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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.