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Finding the Fourth Proportional to 3,684.39, 5,521.86 and 3,219.99

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Solution

The fourth proportional to 3,684.39, 5,521.86 and 3,219.99 is: 4,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.39 : 5,521.86 = 3,219.99 : x
  2. Step 2: Convert to fraction form
    3,684.39/5,521.86 = 3,219.99/x
  3. Step 3: Cross multiply
    3,684.39x = 5,521.86 × 3,219.99
  4. Step 4: Simplify right side
    3,684.39x = 17,780,333.98
  5. Step 5: Solve for x
    x = 17,780,333.98/3,684.39
  6. Step 6: Final answer
    x = 4,825.86

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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.