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Finding the Fourth Proportional to 5,033.40, 6,945.22 and 3,144.64

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Solution

The fourth proportional to 5,033.40, 6,945.22 and 3,144.64 is: 4,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.40 : 6,945.22 = 3,144.64 : x
  2. Step 2: Convert to fraction form
    5,033.40/6,945.22 = 3,144.64/x
  3. Step 3: Cross multiply
    5,033.40x = 6,945.22 × 3,144.64
  4. Step 4: Simplify right side
    5,033.40x = 21,840,216.62
  5. Step 5: Solve for x
    x = 21,840,216.62/5,033.40
  6. Step 6: Final answer
    x = 4,339.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.