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Finding the Fourth Proportional to 3,683.52, 5,519.16 and 2,219.67

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Solution

The fourth proportional to 3,683.52, 5,519.16 and 2,219.67 is: 3,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.52 : 5,519.16 = 2,219.67 : x
  2. Step 2: Convert to fraction form
    3,683.52/5,519.16 = 2,219.67/x
  3. Step 3: Cross multiply
    3,683.52x = 5,519.16 × 2,219.67
  4. Step 4: Simplify right side
    3,683.52x = 12,250,713.88
  5. Step 5: Solve for x
    x = 12,250,713.88/3,683.52
  6. Step 6: Final answer
    x = 3,325.82

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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.