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Finding the Fourth Proportional to 3,564.56, 5,344.26 and 1,372.88

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Solution

The fourth proportional to 3,564.56, 5,344.26 and 1,372.88 is: 2,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.56 : 5,344.26 = 1,372.88 : x
  2. Step 2: Convert to fraction form
    3,564.56/5,344.26 = 1,372.88/x
  3. Step 3: Cross multiply
    3,564.56x = 5,344.26 × 1,372.88
  4. Step 4: Simplify right side
    3,564.56x = 7,337,027.67
  5. Step 5: Solve for x
    x = 7,337,027.67/3,564.56
  6. Step 6: Final answer
    x = 2,058.33

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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.