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Finding the Fourth Proportional to 5,690.12, 8,522.82 and 2,762.28

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Solution

The fourth proportional to 5,690.12, 8,522.82 and 2,762.28 is: 4,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.12 : 8,522.82 = 2,762.28 : x
  2. Step 2: Convert to fraction form
    5,690.12/8,522.82 = 2,762.28/x
  3. Step 3: Cross multiply
    5,690.12x = 8,522.82 × 2,762.28
  4. Step 4: Simplify right side
    5,690.12x = 23,542,415.23
  5. Step 5: Solve for x
    x = 23,542,415.23/5,690.12
  6. Step 6: Final answer
    x = 4,137.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.