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Finding the Fourth Proportional to 4,809.24, 7,218.72 and 3,244.32

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Solution

The fourth proportional to 4,809.24, 7,218.72 and 3,244.32 is: 4,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.24 : 7,218.72 = 3,244.32 : x
  2. Step 2: Convert to fraction form
    4,809.24/7,218.72 = 3,244.32/x
  3. Step 3: Cross multiply
    4,809.24x = 7,218.72 × 3,244.32
  4. Step 4: Simplify right side
    4,809.24x = 23,419,837.67
  5. Step 5: Solve for x
    x = 23,419,837.67/4,809.24
  6. Step 6: Final answer
    x = 4,869.76

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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.