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Finding the Fourth Proportional to 5,178.90, 7,147.07 and 2,821.21

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Solution

The fourth proportional to 5,178.90, 7,147.07 and 2,821.21 is: 3,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.90 : 7,147.07 = 2,821.21 : x
  2. Step 2: Convert to fraction form
    5,178.90/7,147.07 = 2,821.21/x
  3. Step 3: Cross multiply
    5,178.90x = 7,147.07 × 2,821.21
  4. Step 4: Simplify right side
    5,178.90x = 20,163,385.35
  5. Step 5: Solve for x
    x = 20,163,385.35/5,178.90
  6. Step 6: Final answer
    x = 3,893.37

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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.