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Finding the Fourth Proportional to 3,694.76, 5,533.32 and 2,131.49

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Solution

The fourth proportional to 3,694.76, 5,533.32 and 2,131.49 is: 3,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.76 : 5,533.32 = 2,131.49 : x
  2. Step 2: Convert to fraction form
    3,694.76/5,533.32 = 2,131.49/x
  3. Step 3: Cross multiply
    3,694.76x = 5,533.32 × 2,131.49
  4. Step 4: Simplify right side
    3,694.76x = 11,794,216.25
  5. Step 5: Solve for x
    x = 11,794,216.25/3,694.76
  6. Step 6: Final answer
    x = 3,192.15

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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.