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Finding the Fourth Proportional to 6,297.12, 8,690.16 and 3,502.80

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Solution

The fourth proportional to 6,297.12, 8,690.16 and 3,502.80 is: 4,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.12 : 8,690.16 = 3,502.80 : x
  2. Step 2: Convert to fraction form
    6,297.12/8,690.16 = 3,502.80/x
  3. Step 3: Cross multiply
    6,297.12x = 8,690.16 × 3,502.80
  4. Step 4: Simplify right side
    6,297.12x = 30,439,892.45
  5. Step 5: Solve for x
    x = 30,439,892.45/6,297.12
  6. Step 6: Final answer
    x = 4,833.94

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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.