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Finding the Fourth Proportional to 3,593.17, 5,383.26 and 1,509.44

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Solution

The fourth proportional to 3,593.17, 5,383.26 and 1,509.44 is: 2,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.17 : 5,383.26 = 1,509.44 : x
  2. Step 2: Convert to fraction form
    3,593.17/5,383.26 = 1,509.44/x
  3. Step 3: Cross multiply
    3,593.17x = 5,383.26 × 1,509.44
  4. Step 4: Simplify right side
    3,593.17x = 8,125,707.97
  5. Step 5: Solve for x
    x = 8,125,707.97/3,593.17
  6. Step 6: Final answer
    x = 2,261.43

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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.