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Finding the Fourth Proportional to 5,689.27, 8,532.69 and 1,792.81

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Solution

The fourth proportional to 5,689.27, 8,532.69 and 1,792.81 is: 2,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.27 : 8,532.69 = 1,792.81 : x
  2. Step 2: Convert to fraction form
    5,689.27/8,532.69 = 1,792.81/x
  3. Step 3: Cross multiply
    5,689.27x = 8,532.69 × 1,792.81
  4. Step 4: Simplify right side
    5,689.27x = 15,297,491.96
  5. Step 5: Solve for x
    x = 15,297,491.96/5,689.27
  6. Step 6: Final answer
    x = 2,688.83

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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.