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Finding the Fourth Proportional to 3,846.20, 5,768.01 and 1,248.50

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Solution

The fourth proportional to 3,846.20, 5,768.01 and 1,248.50 is: 1,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.20 : 5,768.01 = 1,248.50 : x
  2. Step 2: Convert to fraction form
    3,846.20/5,768.01 = 1,248.50/x
  3. Step 3: Cross multiply
    3,846.20x = 5,768.01 × 1,248.50
  4. Step 4: Simplify right side
    3,846.20x = 7,201,360.49
  5. Step 5: Solve for x
    x = 7,201,360.49/3,846.20
  6. Step 6: Final answer
    x = 1,872.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.