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Finding the Fourth Proportional to 3,896.70, 5,848.16 and 2,048.90

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Solution

The fourth proportional to 3,896.70, 5,848.16 and 2,048.90 is: 3,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.70 : 5,848.16 = 2,048.90 : x
  2. Step 2: Convert to fraction form
    3,896.70/5,848.16 = 2,048.90/x
  3. Step 3: Cross multiply
    3,896.70x = 5,848.16 × 2,048.90
  4. Step 4: Simplify right side
    3,896.70x = 11,982,255.54
  5. Step 5: Solve for x
    x = 11,982,255.54/3,896.70
  6. Step 6: Final answer
    x = 3,074.98

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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.