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Finding the Fourth Proportional to 3,211.19, 4,817.21 and 990.17

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Solution

The fourth proportional to 3,211.19, 4,817.21 and 990.17 is: 1,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.19 : 4,817.21 = 990.17 : x
  2. Step 2: Convert to fraction form
    3,211.19/4,817.21 = 990.17/x
  3. Step 3: Cross multiply
    3,211.19x = 4,817.21 × 990.17
  4. Step 4: Simplify right side
    3,211.19x = 4,769,872.95
  5. Step 5: Solve for x
    x = 4,769,872.95/3,211.19
  6. Step 6: Final answer
    x = 1,485.39

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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.