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Finding the Fourth Proportional to 4,252.38, 5,868.20 and 2,363.96

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Solution

The fourth proportional to 4,252.38, 5,868.20 and 2,363.96 is: 3,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.38 : 5,868.20 = 2,363.96 : x
  2. Step 2: Convert to fraction form
    4,252.38/5,868.20 = 2,363.96/x
  3. Step 3: Cross multiply
    4,252.38x = 5,868.20 × 2,363.96
  4. Step 4: Simplify right side
    4,252.38x = 13,872,190.07
  5. Step 5: Solve for x
    x = 13,872,190.07/4,252.38
  6. Step 6: Final answer
    x = 3,262.22

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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.