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Finding the Fourth Proportional to 3,512.90, 5,269.44 and 1,663.58

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Solution

The fourth proportional to 3,512.90, 5,269.44 and 1,663.58 is: 2,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.90 : 5,269.44 = 1,663.58 : x
  2. Step 2: Convert to fraction form
    3,512.90/5,269.44 = 1,663.58/x
  3. Step 3: Cross multiply
    3,512.90x = 5,269.44 × 1,663.58
  4. Step 4: Simplify right side
    3,512.90x = 8,766,135.00
  5. Step 5: Solve for x
    x = 8,766,135.00/3,512.90
  6. Step 6: Final answer
    x = 2,495.41

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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.