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Finding the Fourth Proportional to 4,738.38, 6,536.89 and 2,848.87

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Solution

The fourth proportional to 4,738.38, 6,536.89 and 2,848.87 is: 3,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.38 : 6,536.89 = 2,848.87 : x
  2. Step 2: Convert to fraction form
    4,738.38/6,536.89 = 2,848.87/x
  3. Step 3: Cross multiply
    4,738.38x = 6,536.89 × 2,848.87
  4. Step 4: Simplify right side
    4,738.38x = 18,622,745.52
  5. Step 5: Solve for x
    x = 18,622,745.52/4,738.38
  6. Step 6: Final answer
    x = 3,930.19

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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.