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Finding the Fourth Proportional to 5,769.40, 8,662.20 and 4,538.20

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Solution

The fourth proportional to 5,769.40, 8,662.20 and 4,538.20 is: 6,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.40 : 8,662.20 = 4,538.20 : x
  2. Step 2: Convert to fraction form
    5,769.40/8,662.20 = 4,538.20/x
  3. Step 3: Cross multiply
    5,769.40x = 8,662.20 × 4,538.20
  4. Step 4: Simplify right side
    5,769.40x = 39,310,796.04
  5. Step 5: Solve for x
    x = 39,310,796.04/5,769.40
  6. Step 6: Final answer
    x = 6,813.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.