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Finding the Fourth Proportional to 5,734.14, 7,914.80 and 3,745.00

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Solution

The fourth proportional to 5,734.14, 7,914.80 and 3,745.00 is: 5,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.14 : 7,914.80 = 3,745.00 : x
  2. Step 2: Convert to fraction form
    5,734.14/7,914.80 = 3,745.00/x
  3. Step 3: Cross multiply
    5,734.14x = 7,914.80 × 3,745.00
  4. Step 4: Simplify right side
    5,734.14x = 29,640,887.49
  5. Step 5: Solve for x
    x = 29,640,887.49/5,734.14
  6. Step 6: Final answer
    x = 5,169.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.