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Finding the Fourth Proportional to 5,287.20, 7,914.60 and 3,089.40

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Solution

The fourth proportional to 5,287.20, 7,914.60 and 3,089.40 is: 4,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.20 : 7,914.60 = 3,089.40 : x
  2. Step 2: Convert to fraction form
    5,287.20/7,914.60 = 3,089.40/x
  3. Step 3: Cross multiply
    5,287.20x = 7,914.60 × 3,089.40
  4. Step 4: Simplify right side
    5,287.20x = 24,451,365.24
  5. Step 5: Solve for x
    x = 24,451,365.24/5,287.20
  6. Step 6: Final answer
    x = 4,624.63

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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.