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Finding the Fourth Proportional to 3,409.83, 5,118.33 and 3,022.32

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Solution

The fourth proportional to 3,409.83, 5,118.33 and 3,022.32 is: 4,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.83 : 5,118.33 = 3,022.32 : x
  2. Step 2: Convert to fraction form
    3,409.83/5,118.33 = 3,022.32/x
  3. Step 3: Cross multiply
    3,409.83x = 5,118.33 × 3,022.32
  4. Step 4: Simplify right side
    3,409.83x = 15,469,231.13
  5. Step 5: Solve for x
    x = 15,469,231.13/3,409.83
  6. Step 6: Final answer
    x = 4,536.66

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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.