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Finding the Fourth Proportional to 5,958.34, 8,222.16 and 3,305.68

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Solution

The fourth proportional to 5,958.34, 8,222.16 and 3,305.68 is: 4,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.34 : 8,222.16 = 3,305.68 : x
  2. Step 2: Convert to fraction form
    5,958.34/8,222.16 = 3,305.68/x
  3. Step 3: Cross multiply
    5,958.34x = 8,222.16 × 3,305.68
  4. Step 4: Simplify right side
    5,958.34x = 27,179,829.87
  5. Step 5: Solve for x
    x = 27,179,829.87/5,958.34
  6. Step 6: Final answer
    x = 4,561.64

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1.5x scale

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.