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Finding the Fourth Proportional to 3,850.96, 5,776.65 and 1,218.55

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Solution

The fourth proportional to 3,850.96, 5,776.65 and 1,218.55 is: 1,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.96 : 5,776.65 = 1,218.55 : x
  2. Step 2: Convert to fraction form
    3,850.96/5,776.65 = 1,218.55/x
  3. Step 3: Cross multiply
    3,850.96x = 5,776.65 × 1,218.55
  4. Step 4: Simplify right side
    3,850.96x = 7,039,136.86
  5. Step 5: Solve for x
    x = 7,039,136.86/3,850.96
  6. Step 6: Final answer
    x = 1,827.89

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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.