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Finding the Fourth Proportional to 3,642.22, 5,454.82 and 3,348.19

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Solution

The fourth proportional to 3,642.22, 5,454.82 and 3,348.19 is: 5,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.22 : 5,454.82 = 3,348.19 : x
  2. Step 2: Convert to fraction form
    3,642.22/5,454.82 = 3,348.19/x
  3. Step 3: Cross multiply
    3,642.22x = 5,454.82 × 3,348.19
  4. Step 4: Simplify right side
    3,642.22x = 18,263,773.78
  5. Step 5: Solve for x
    x = 18,263,773.78/3,642.22
  6. Step 6: Final answer
    x = 5,014.46

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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.