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Finding the Fourth Proportional to 6,446.62, 8,896.26 and 3,613.98

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Solution

The fourth proportional to 6,446.62, 8,896.26 and 3,613.98 is: 4,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.62 : 8,896.26 = 3,613.98 : x
  2. Step 2: Convert to fraction form
    6,446.62/8,896.26 = 3,613.98/x
  3. Step 3: Cross multiply
    6,446.62x = 8,896.26 × 3,613.98
  4. Step 4: Simplify right side
    6,446.62x = 32,150,905.71
  5. Step 5: Solve for x
    x = 32,150,905.71/6,446.62
  6. Step 6: Final answer
    x = 4,987.25

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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.