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Finding the Fourth Proportional to 3,847.38, 5,309.51 and 2,355.98

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Solution

The fourth proportional to 3,847.38, 5,309.51 and 2,355.98 is: 3,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.38 : 5,309.51 = 2,355.98 : x
  2. Step 2: Convert to fraction form
    3,847.38/5,309.51 = 2,355.98/x
  3. Step 3: Cross multiply
    3,847.38x = 5,309.51 × 2,355.98
  4. Step 4: Simplify right side
    3,847.38x = 12,509,099.37
  5. Step 5: Solve for x
    x = 12,509,099.37/3,847.38
  6. Step 6: Final answer
    x = 3,251.33

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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.