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Finding the Fourth Proportional to 3,253.77, 4,490.87 and 2,206.17

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Solution

The fourth proportional to 3,253.77, 4,490.87 and 2,206.17 is: 3,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.77 : 4,490.87 = 2,206.17 : x
  2. Step 2: Convert to fraction form
    3,253.77/4,490.87 = 2,206.17/x
  3. Step 3: Cross multiply
    3,253.77x = 4,490.87 × 2,206.17
  4. Step 4: Simplify right side
    3,253.77x = 9,907,611.64
  5. Step 5: Solve for x
    x = 9,907,611.64/3,253.77
  6. Step 6: Final answer
    x = 3,044.96

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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.