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Finding the Fourth Proportional to 3,792.42, 5,689.26 and 1,195.92

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Solution

The fourth proportional to 3,792.42, 5,689.26 and 1,195.92 is: 1,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.42 : 5,689.26 = 1,195.92 : x
  2. Step 2: Convert to fraction form
    3,792.42/5,689.26 = 1,195.92/x
  3. Step 3: Cross multiply
    3,792.42x = 5,689.26 × 1,195.92
  4. Step 4: Simplify right side
    3,792.42x = 6,803,899.82
  5. Step 5: Solve for x
    x = 6,803,899.82/3,792.42
  6. Step 6: Final answer
    x = 1,794.08

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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.