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Finding the Fourth Proportional to 3,613.96, 5,416.81 and 1,641.09

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Solution

The fourth proportional to 3,613.96, 5,416.81 and 1,641.09 is: 2,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.96 : 5,416.81 = 1,641.09 : x
  2. Step 2: Convert to fraction form
    3,613.96/5,416.81 = 1,641.09/x
  3. Step 3: Cross multiply
    3,613.96x = 5,416.81 × 1,641.09
  4. Step 4: Simplify right side
    3,613.96x = 8,889,468.62
  5. Step 5: Solve for x
    x = 8,889,468.62/3,613.96
  6. Step 6: Final answer
    x = 2,459.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.