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Finding the Fourth Proportional to 3,792.16, 5,230.92 and 2,797.12

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Solution

The fourth proportional to 3,792.16, 5,230.92 and 2,797.12 is: 3,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.16 : 5,230.92 = 2,797.12 : x
  2. Step 2: Convert to fraction form
    3,792.16/5,230.92 = 2,797.12/x
  3. Step 3: Cross multiply
    3,792.16x = 5,230.92 × 2,797.12
  4. Step 4: Simplify right side
    3,792.16x = 14,631,510.95
  5. Step 5: Solve for x
    x = 14,631,510.95/3,792.16
  6. Step 6: Final answer
    x = 3,858.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.