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Finding the Fourth Proportional to 4,294.72, 6,444.24 and 3,201.28

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Solution

The fourth proportional to 4,294.72, 6,444.24 and 3,201.28 is: 4,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.72 : 6,444.24 = 3,201.28 : x
  2. Step 2: Convert to fraction form
    4,294.72/6,444.24 = 3,201.28/x
  3. Step 3: Cross multiply
    4,294.72x = 6,444.24 × 3,201.28
  4. Step 4: Simplify right side
    4,294.72x = 20,629,816.63
  5. Step 5: Solve for x
    x = 20,629,816.63/4,294.72
  6. Step 6: Final answer
    x = 4,803.53

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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.