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Finding the Fourth Proportional to 4,872.89, 7,296.62 and 3,201.76

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Solution

The fourth proportional to 4,872.89, 7,296.62 and 3,201.76 is: 4,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.89 : 7,296.62 = 3,201.76 : x
  2. Step 2: Convert to fraction form
    4,872.89/7,296.62 = 3,201.76/x
  3. Step 3: Cross multiply
    4,872.89x = 7,296.62 × 3,201.76
  4. Step 4: Simplify right side
    4,872.89x = 23,362,019.16
  5. Step 5: Solve for x
    x = 23,362,019.16/4,872.89
  6. Step 6: Final answer
    x = 4,794.28

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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.