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Finding the Fourth Proportional to 5,958, 8,222.32 and 3,305.24

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Solution

The fourth proportional to 5,958, 8,222.32 and 3,305.24 is: 4,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958 : 8,222.32 = 3,305.24 : x
  2. Step 2: Convert to fraction form
    5,958/8,222.32 = 3,305.24/x
  3. Step 3: Cross multiply
    5,958x = 8,222.32 × 3,305.24
  4. Step 4: Simplify right side
    5,958x = 27,176,740.96
  5. Step 5: Solve for x
    x = 27,176,740.96/5,958
  6. Step 6: Final answer
    x = 4,561.39

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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.