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Finding the Fourth Proportional to 5,778.14, 7,977.26 and 3,792.17

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Solution

The fourth proportional to 5,778.14, 7,977.26 and 3,792.17 is: 5,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.14 : 7,977.26 = 3,792.17 : x
  2. Step 2: Convert to fraction form
    5,778.14/7,977.26 = 3,792.17/x
  3. Step 3: Cross multiply
    5,778.14x = 7,977.26 × 3,792.17
  4. Step 4: Simplify right side
    5,778.14x = 30,251,126.05
  5. Step 5: Solve for x
    x = 30,251,126.05/5,778.14
  6. Step 6: Final answer
    x = 5,235.44

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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.