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Finding the Fourth Proportional to 3,333.87, 5,005.41 and 1,691.57

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Solution

The fourth proportional to 3,333.87, 5,005.41 and 1,691.57 is: 2,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.87 : 5,005.41 = 1,691.57 : x
  2. Step 2: Convert to fraction form
    3,333.87/5,005.41 = 1,691.57/x
  3. Step 3: Cross multiply
    3,333.87x = 5,005.41 × 1,691.57
  4. Step 4: Simplify right side
    3,333.87x = 8,466,976.37
  5. Step 5: Solve for x
    x = 8,466,976.37/3,333.87
  6. Step 6: Final answer
    x = 2,539.68

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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.