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Finding the Fourth Proportional to 4,682.72, 7,024.04 and 1,396.96

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Solution

The fourth proportional to 4,682.72, 7,024.04 and 1,396.96 is: 2,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.72 : 7,024.04 = 1,396.96 : x
  2. Step 2: Convert to fraction form
    4,682.72/7,024.04 = 1,396.96/x
  3. Step 3: Cross multiply
    4,682.72x = 7,024.04 × 1,396.96
  4. Step 4: Simplify right side
    4,682.72x = 9,812,302.92
  5. Step 5: Solve for x
    x = 9,812,302.92/4,682.72
  6. Step 6: Final answer
    x = 2,095.43

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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.