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Finding the Fourth Proportional to 3,792.80, 5,616.26 and 3,792.80

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Solution

The fourth proportional to 3,792.80, 5,616.26 and 3,792.80 is: 5,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.80 : 5,616.26 = 3,792.80 : x
  2. Step 2: Convert to fraction form
    3,792.80/5,616.26 = 3,792.80/x
  3. Step 3: Cross multiply
    3,792.80x = 5,616.26 × 3,792.80
  4. Step 4: Simplify right side
    3,792.80x = 21,301,350.93
  5. Step 5: Solve for x
    x = 21,301,350.93/3,792.80
  6. Step 6: Final answer
    x = 5,616.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.