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Finding the Fourth Proportional to 5,709.44, 8,564.16 and 3,773.84

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Solution

The fourth proportional to 5,709.44, 8,564.16 and 3,773.84 is: 5,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.44 : 8,564.16 = 3,773.84 : x
  2. Step 2: Convert to fraction form
    5,709.44/8,564.16 = 3,773.84/x
  3. Step 3: Cross multiply
    5,709.44x = 8,564.16 × 3,773.84
  4. Step 4: Simplify right side
    5,709.44x = 32,319,769.57
  5. Step 5: Solve for x
    x = 32,319,769.57/5,709.44
  6. Step 6: Final answer
    x = 5,660.76

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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.