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Finding the Fourth Proportional to 5,908.50, 8,154.54 and 3,812.22

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Solution

The fourth proportional to 5,908.50, 8,154.54 and 3,812.22 is: 5,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.50 : 8,154.54 = 3,812.22 : x
  2. Step 2: Convert to fraction form
    5,908.50/8,154.54 = 3,812.22/x
  3. Step 3: Cross multiply
    5,908.50x = 8,154.54 × 3,812.22
  4. Step 4: Simplify right side
    5,908.50x = 31,086,900.48
  5. Step 5: Solve for x
    x = 31,086,900.48/5,908.50
  6. Step 6: Final answer
    x = 5,261.39

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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.