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Finding the Fourth Proportional to 3,792.71, 5,689.06 and 1,195.85

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Solution

The fourth proportional to 3,792.71, 5,689.06 and 1,195.85 is: 1,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.71 : 5,689.06 = 1,195.85 : x
  2. Step 2: Convert to fraction form
    3,792.71/5,689.06 = 1,195.85/x
  3. Step 3: Cross multiply
    3,792.71x = 5,689.06 × 1,195.85
  4. Step 4: Simplify right side
    3,792.71x = 6,803,227.98
  5. Step 5: Solve for x
    x = 6,803,227.98/3,792.71
  6. Step 6: Final answer
    x = 1,793.77

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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.