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Finding the Fourth Proportional to 5,486.60, 8,229.90 and 5,454.20

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Solution

The fourth proportional to 5,486.60, 8,229.90 and 5,454.20 is: 8,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.60 : 8,229.90 = 5,454.20 : x
  2. Step 2: Convert to fraction form
    5,486.60/8,229.90 = 5,454.20/x
  3. Step 3: Cross multiply
    5,486.60x = 8,229.90 × 5,454.20
  4. Step 4: Simplify right side
    5,486.60x = 44,887,520.58
  5. Step 5: Solve for x
    x = 44,887,520.58/5,486.60
  6. Step 6: Final answer
    x = 8,181.30

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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.