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Finding the Fourth Proportional to 4,204.98, 6,317.19 and 3,641.22

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Solution

The fourth proportional to 4,204.98, 6,317.19 and 3,641.22 is: 5,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.98 : 6,317.19 = 3,641.22 : x
  2. Step 2: Convert to fraction form
    4,204.98/6,317.19 = 3,641.22/x
  3. Step 3: Cross multiply
    4,204.98x = 6,317.19 × 3,641.22
  4. Step 4: Simplify right side
    4,204.98x = 23,002,278.57
  5. Step 5: Solve for x
    x = 23,002,278.57/4,204.98
  6. Step 6: Final answer
    x = 5,470.25

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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.