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Finding the Fourth Proportional to 3,463.00, 5,193.57 and 1,612.31

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Solution

The fourth proportional to 3,463.00, 5,193.57 and 1,612.31 is: 2,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.00 : 5,193.57 = 1,612.31 : x
  2. Step 2: Convert to fraction form
    3,463.00/5,193.57 = 1,612.31/x
  3. Step 3: Cross multiply
    3,463.00x = 5,193.57 × 1,612.31
  4. Step 4: Simplify right side
    3,463.00x = 8,373,615.86
  5. Step 5: Solve for x
    x = 8,373,615.86/3,463.00
  6. Step 6: Final answer
    x = 2,418.02

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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.