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Finding the Fourth Proportional to 3,768.09, 5,200.01 and 2,350.98

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Solution

The fourth proportional to 3,768.09, 5,200.01 and 2,350.98 is: 3,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.09 : 5,200.01 = 2,350.98 : x
  2. Step 2: Convert to fraction form
    3,768.09/5,200.01 = 2,350.98/x
  3. Step 3: Cross multiply
    3,768.09x = 5,200.01 × 2,350.98
  4. Step 4: Simplify right side
    3,768.09x = 12,225,107.75
  5. Step 5: Solve for x
    x = 12,225,107.75/3,768.09
  6. Step 6: Final answer
    x = 3,244.38

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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.