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Finding the Fourth Proportional to 5,313.60, 7,967.92 and 2,847.76

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Solution

The fourth proportional to 5,313.60, 7,967.92 and 2,847.76 is: 4,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.60 : 7,967.92 = 2,847.76 : x
  2. Step 2: Convert to fraction form
    5,313.60/7,967.92 = 2,847.76/x
  3. Step 3: Cross multiply
    5,313.60x = 7,967.92 × 2,847.76
  4. Step 4: Simplify right side
    5,313.60x = 22,690,723.86
  5. Step 5: Solve for x
    x = 22,690,723.86/5,313.60
  6. Step 6: Final answer
    x = 4,270.31

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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.