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Finding the Fourth Proportional to 5,958.54, 8,222.07 and 3,305.31

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Solution

The fourth proportional to 5,958.54, 8,222.07 and 3,305.31 is: 4,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.54 : 8,222.07 = 3,305.31 : x
  2. Step 2: Convert to fraction form
    5,958.54/8,222.07 = 3,305.31/x
  3. Step 3: Cross multiply
    5,958.54x = 8,222.07 × 3,305.31
  4. Step 4: Simplify right side
    5,958.54x = 27,176,490.19
  5. Step 5: Solve for x
    x = 27,176,490.19/5,958.54
  6. Step 6: Final answer
    x = 4,560.93

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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.