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Finding the Fourth Proportional to 5,395.20, 8,084.16 and 4,531.20

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Solution

The fourth proportional to 5,395.20, 8,084.16 and 4,531.20 is: 6,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.20 : 8,084.16 = 4,531.20 : x
  2. Step 2: Convert to fraction form
    5,395.20/8,084.16 = 4,531.20/x
  3. Step 3: Cross multiply
    5,395.20x = 8,084.16 × 4,531.20
  4. Step 4: Simplify right side
    5,395.20x = 36,630,945.79
  5. Step 5: Solve for x
    x = 36,630,945.79/5,395.20
  6. Step 6: Final answer
    x = 6,789.54

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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.