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Finding the Fourth Proportional to 3,677.81, 5,515.90 and 1,211.96

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Solution

The fourth proportional to 3,677.81, 5,515.90 and 1,211.96 is: 1,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.81 : 5,515.90 = 1,211.96 : x
  2. Step 2: Convert to fraction form
    3,677.81/5,515.90 = 1,211.96/x
  3. Step 3: Cross multiply
    3,677.81x = 5,515.90 × 1,211.96
  4. Step 4: Simplify right side
    3,677.81x = 6,685,060.92
  5. Step 5: Solve for x
    x = 6,685,060.92/3,677.81
  6. Step 6: Final answer
    x = 1,817.68

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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.