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Finding the Fourth Proportional to 3,800.25, 5,244.35 and 2,144.25

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Solution

The fourth proportional to 3,800.25, 5,244.35 and 2,144.25 is: 2,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.25 : 5,244.35 = 2,144.25 : x
  2. Step 2: Convert to fraction form
    3,800.25/5,244.35 = 2,144.25/x
  3. Step 3: Cross multiply
    3,800.25x = 5,244.35 × 2,144.25
  4. Step 4: Simplify right side
    3,800.25x = 11,245,186.77
  5. Step 5: Solve for x
    x = 11,245,186.77/3,800.25
  6. Step 6: Final answer
    x = 2,959.07

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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.