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Finding the Fourth Proportional to 5,184.72, 7,772.04 and 2,989.80

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Solution

The fourth proportional to 5,184.72, 7,772.04 and 2,989.80 is: 4,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.72 : 7,772.04 = 2,989.80 : x
  2. Step 2: Convert to fraction form
    5,184.72/7,772.04 = 2,989.80/x
  3. Step 3: Cross multiply
    5,184.72x = 7,772.04 × 2,989.80
  4. Step 4: Simplify right side
    5,184.72x = 23,236,845.19
  5. Step 5: Solve for x
    x = 23,236,845.19/5,184.72
  6. Step 6: Final answer
    x = 4,481.79

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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.