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Finding the Fourth Proportional to 3,757.01, 5,634.09 and 1,564.54

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Solution

The fourth proportional to 3,757.01, 5,634.09 and 1,564.54 is: 2,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.01 : 5,634.09 = 1,564.54 : x
  2. Step 2: Convert to fraction form
    3,757.01/5,634.09 = 1,564.54/x
  3. Step 3: Cross multiply
    3,757.01x = 5,634.09 × 1,564.54
  4. Step 4: Simplify right side
    3,757.01x = 8,814,745.08
  5. Step 5: Solve for x
    x = 8,814,745.08/3,757.01
  6. Step 6: Final answer
    x = 2,346.22

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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.