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Finding the Fourth Proportional to 3,734.53, 5,601.99 and 1,883.48

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Solution

The fourth proportional to 3,734.53, 5,601.99 and 1,883.48 is: 2,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.53 : 5,601.99 = 1,883.48 : x
  2. Step 2: Convert to fraction form
    3,734.53/5,601.99 = 1,883.48/x
  3. Step 3: Cross multiply
    3,734.53x = 5,601.99 × 1,883.48
  4. Step 4: Simplify right side
    3,734.53x = 10,551,215.18
  5. Step 5: Solve for x
    x = 10,551,215.18/3,734.53
  6. Step 6: Final answer
    x = 2,825.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.