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Finding the Fourth Proportional to 3,792.98, 5,234.62 and 2,114.94

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Solution

The fourth proportional to 3,792.98, 5,234.62 and 2,114.94 is: 2,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.98 : 5,234.62 = 2,114.94 : x
  2. Step 2: Convert to fraction form
    3,792.98/5,234.62 = 2,114.94/x
  3. Step 3: Cross multiply
    3,792.98x = 5,234.62 × 2,114.94
  4. Step 4: Simplify right side
    3,792.98x = 11,070,907.22
  5. Step 5: Solve for x
    x = 11,070,907.22/3,792.98
  6. Step 6: Final answer
    x = 2,918.79

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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.