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Finding the Fourth Proportional to 4,238.28, 5,848.80 and 2,375.28

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Solution

The fourth proportional to 4,238.28, 5,848.80 and 2,375.28 is: 3,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.28 : 5,848.80 = 2,375.28 : x
  2. Step 2: Convert to fraction form
    4,238.28/5,848.80 = 2,375.28/x
  3. Step 3: Cross multiply
    4,238.28x = 5,848.80 × 2,375.28
  4. Step 4: Simplify right side
    4,238.28x = 13,892,537.66
  5. Step 5: Solve for x
    x = 13,892,537.66/4,238.28
  6. Step 6: Final answer
    x = 3,277.87

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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.