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Finding the Fourth Proportional to 5,311.69, 7,967.54 and 3,003.19

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Solution

The fourth proportional to 5,311.69, 7,967.54 and 3,003.19 is: 4,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.69 : 7,967.54 = 3,003.19 : x
  2. Step 2: Convert to fraction form
    5,311.69/7,967.54 = 3,003.19/x
  3. Step 3: Cross multiply
    5,311.69x = 7,967.54 × 3,003.19
  4. Step 4: Simplify right side
    5,311.69x = 23,928,024.04
  5. Step 5: Solve for x
    x = 23,928,024.04/5,311.69
  6. Step 6: Final answer
    x = 4,504.79

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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.