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Finding the Fourth Proportional to 5,974.81, 8,245.40 and 3,322.16

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Solution

The fourth proportional to 5,974.81, 8,245.40 and 3,322.16 is: 4,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.81 : 8,245.40 = 3,322.16 : x
  2. Step 2: Convert to fraction form
    5,974.81/8,245.40 = 3,322.16/x
  3. Step 3: Cross multiply
    5,974.81x = 8,245.40 × 3,322.16
  4. Step 4: Simplify right side
    5,974.81x = 27,392,511.15
  5. Step 5: Solve for x
    x = 27,392,511.15/5,974.81
  6. Step 6: Final answer
    x = 4,584.67

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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.