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Finding the Fourth Proportional to 5,975.50, 8,245.80 and 3,322.82

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Solution

The fourth proportional to 5,975.50, 8,245.80 and 3,322.82 is: 4,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.50 : 8,245.80 = 3,322.82 : x
  2. Step 2: Convert to fraction form
    5,975.50/8,245.80 = 3,322.82/x
  3. Step 3: Cross multiply
    5,975.50x = 8,245.80 × 3,322.82
  4. Step 4: Simplify right side
    5,975.50x = 27,399,309.16
  5. Step 5: Solve for x
    x = 27,399,309.16/5,975.50
  6. Step 6: Final answer
    x = 4,585.27

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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.