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Finding the Fourth Proportional to 3,764.88, 5,643 and 2,122.20

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Solution

The fourth proportional to 3,764.88, 5,643 and 2,122.20 is: 3,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.88 : 5,643 = 2,122.20 : x
  2. Step 2: Convert to fraction form
    3,764.88/5,643 = 2,122.20/x
  3. Step 3: Cross multiply
    3,764.88x = 5,643 × 2,122.20
  4. Step 4: Simplify right side
    3,764.88x = 11,975,574.60
  5. Step 5: Solve for x
    x = 11,975,574.60/3,764.88
  6. Step 6: Final answer
    x = 3,180.86

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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.