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Finding the Fourth Proportional to 5,484.85, 8,229.09 and 3,643.21

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Solution

The fourth proportional to 5,484.85, 8,229.09 and 3,643.21 is: 5,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.85 : 8,229.09 = 3,643.21 : x
  2. Step 2: Convert to fraction form
    5,484.85/8,229.09 = 3,643.21/x
  3. Step 3: Cross multiply
    5,484.85x = 8,229.09 × 3,643.21
  4. Step 4: Simplify right side
    5,484.85x = 29,980,326.93
  5. Step 5: Solve for x
    x = 29,980,326.93/5,484.85
  6. Step 6: Final answer
    x = 5,466.03

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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.