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Finding the Fourth Proportional to 3,599.50, 4,967.44 and 2,006.22

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Solution

The fourth proportional to 3,599.50, 4,967.44 and 2,006.22 is: 2,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.50 : 4,967.44 = 2,006.22 : x
  2. Step 2: Convert to fraction form
    3,599.50/4,967.44 = 2,006.22/x
  3. Step 3: Cross multiply
    3,599.50x = 4,967.44 × 2,006.22
  4. Step 4: Simplify right side
    3,599.50x = 9,965,777.48
  5. Step 5: Solve for x
    x = 9,965,777.48/3,599.50
  6. Step 6: Final answer
    x = 2,768.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.