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Finding the Fourth Proportional to 3,440.57, 5,161.72 and 1,593.01

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Solution

The fourth proportional to 3,440.57, 5,161.72 and 1,593.01 is: 2,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.57 : 5,161.72 = 1,593.01 : x
  2. Step 2: Convert to fraction form
    3,440.57/5,161.72 = 1,593.01/x
  3. Step 3: Cross multiply
    3,440.57x = 5,161.72 × 1,593.01
  4. Step 4: Simplify right side
    3,440.57x = 8,222,671.58
  5. Step 5: Solve for x
    x = 8,222,671.58/3,440.57
  6. Step 6: Final answer
    x = 2,389.92

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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.