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Finding the Fourth Proportional to 3,782.44, 5,220.18 and 2,167.50

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Solution

The fourth proportional to 3,782.44, 5,220.18 and 2,167.50 is: 2,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.44 : 5,220.18 = 2,167.50 : x
  2. Step 2: Convert to fraction form
    3,782.44/5,220.18 = 2,167.50/x
  3. Step 3: Cross multiply
    3,782.44x = 5,220.18 × 2,167.50
  4. Step 4: Simplify right side
    3,782.44x = 11,314,740.15
  5. Step 5: Solve for x
    x = 11,314,740.15/3,782.44
  6. Step 6: Final answer
    x = 2,991.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.