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Finding the Fourth Proportional to 3,768.34, 5,202.78 and 2,354.20

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Solution

The fourth proportional to 3,768.34, 5,202.78 and 2,354.20 is: 3,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.34 : 5,202.78 = 2,354.20 : x
  2. Step 2: Convert to fraction form
    3,768.34/5,202.78 = 2,354.20/x
  3. Step 3: Cross multiply
    3,768.34x = 5,202.78 × 2,354.20
  4. Step 4: Simplify right side
    3,768.34x = 12,248,384.68
  5. Step 5: Solve for x
    x = 12,248,384.68/3,768.34
  6. Step 6: Final answer
    x = 3,250.34

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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.