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Finding the Fourth Proportional to 3,611.49, 5,420.30 and 1,640.09

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Solution

The fourth proportional to 3,611.49, 5,420.30 and 1,640.09 is: 2,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.49 : 5,420.30 = 1,640.09 : x
  2. Step 2: Convert to fraction form
    3,611.49/5,420.30 = 1,640.09/x
  3. Step 3: Cross multiply
    3,611.49x = 5,420.30 × 1,640.09
  4. Step 4: Simplify right side
    3,611.49x = 8,889,744.53
  5. Step 5: Solve for x
    x = 8,889,744.53/3,611.49
  6. Step 6: Final answer
    x = 2,461.52

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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.