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Finding the Fourth Proportional to 5,486.22, 8,229.29 and 1,326.20

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Solution

The fourth proportional to 5,486.22, 8,229.29 and 1,326.20 is: 1,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.22 : 8,229.29 = 1,326.20 : x
  2. Step 2: Convert to fraction form
    5,486.22/8,229.29 = 1,326.20/x
  3. Step 3: Cross multiply
    5,486.22x = 8,229.29 × 1,326.20
  4. Step 4: Simplify right side
    5,486.22x = 10,913,636.62
  5. Step 5: Solve for x
    x = 10,913,636.62/5,486.22
  6. Step 6: Final answer
    x = 1,989.28

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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.