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Finding the Fourth Proportional to 5,179.64, 7,147.91 and 2,821.78

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Solution

The fourth proportional to 5,179.64, 7,147.91 and 2,821.78 is: 3,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.64 : 7,147.91 = 2,821.78 : x
  2. Step 2: Convert to fraction form
    5,179.64/7,147.91 = 2,821.78/x
  3. Step 3: Cross multiply
    5,179.64x = 7,147.91 × 2,821.78
  4. Step 4: Simplify right side
    5,179.64x = 20,169,845.47
  5. Step 5: Solve for x
    x = 20,169,845.47/5,179.64
  6. Step 6: Final answer
    x = 3,894.06

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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.