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Finding the Fourth Proportional to 4,720.92, 7,082.58 and 4,424.44

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Solution

The fourth proportional to 4,720.92, 7,082.58 and 4,424.44 is: 6,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.92 : 7,082.58 = 4,424.44 : x
  2. Step 2: Convert to fraction form
    4,720.92/7,082.58 = 4,424.44/x
  3. Step 3: Cross multiply
    4,720.92x = 7,082.58 × 4,424.44
  4. Step 4: Simplify right side
    4,720.92x = 31,336,450.26
  5. Step 5: Solve for x
    x = 31,336,450.26/4,720.92
  6. Step 6: Final answer
    x = 6,637.78

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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.