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Finding the Fourth Proportional to 6,245.42, 8,618.64 and 3,412.80

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Solution

The fourth proportional to 6,245.42, 8,618.64 and 3,412.80 is: 4,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.42 : 8,618.64 = 3,412.80 : x
  2. Step 2: Convert to fraction form
    6,245.42/8,618.64 = 3,412.80/x
  3. Step 3: Cross multiply
    6,245.42x = 8,618.64 × 3,412.80
  4. Step 4: Simplify right side
    6,245.42x = 29,413,694.59
  5. Step 5: Solve for x
    x = 29,413,694.59/6,245.42
  6. Step 6: Final answer
    x = 4,709.64

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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.