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Finding the Fourth Proportional to 3,495.26, 5,239.21 and 1,644.90

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Solution

The fourth proportional to 3,495.26, 5,239.21 and 1,644.90 is: 2,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.26 : 5,239.21 = 1,644.90 : x
  2. Step 2: Convert to fraction form
    3,495.26/5,239.21 = 1,644.90/x
  3. Step 3: Cross multiply
    3,495.26x = 5,239.21 × 1,644.90
  4. Step 4: Simplify right side
    3,495.26x = 8,617,976.53
  5. Step 5: Solve for x
    x = 8,617,976.53/3,495.26
  6. Step 6: Final answer
    x = 2,465.62

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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.