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Finding the Fourth Proportional to 6,297.13, 8,690.08 and 3,464.80

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Solution

The fourth proportional to 6,297.13, 8,690.08 and 3,464.80 is: 4,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.13 : 8,690.08 = 3,464.80 : x
  2. Step 2: Convert to fraction form
    6,297.13/8,690.08 = 3,464.80/x
  3. Step 3: Cross multiply
    6,297.13x = 8,690.08 × 3,464.80
  4. Step 4: Simplify right side
    6,297.13x = 30,109,407.68
  5. Step 5: Solve for x
    x = 30,109,407.68/6,297.13
  6. Step 6: Final answer
    x = 4,781.45

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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.