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Finding the Fourth Proportional to 3,606.83, 5,410.91 and 1,142.27

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Solution

The fourth proportional to 3,606.83, 5,410.91 and 1,142.27 is: 1,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.83 : 5,410.91 = 1,142.27 : x
  2. Step 2: Convert to fraction form
    3,606.83/5,410.91 = 1,142.27/x
  3. Step 3: Cross multiply
    3,606.83x = 5,410.91 × 1,142.27
  4. Step 4: Simplify right side
    3,606.83x = 6,180,720.17
  5. Step 5: Solve for x
    x = 6,180,720.17/3,606.83
  6. Step 6: Final answer
    x = 1,713.62

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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.