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Finding the Fourth Proportional to 5,234.20, 7,844.10 and 3,693.40

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Solution

The fourth proportional to 5,234.20, 7,844.10 and 3,693.40 is: 5,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.20 : 7,844.10 = 3,693.40 : x
  2. Step 2: Convert to fraction form
    5,234.20/7,844.10 = 3,693.40/x
  3. Step 3: Cross multiply
    5,234.20x = 7,844.10 × 3,693.40
  4. Step 4: Simplify right side
    5,234.20x = 28,971,398.94
  5. Step 5: Solve for x
    x = 28,971,398.94/5,234.20
  6. Step 6: Final answer
    x = 5,535.02

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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.