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Finding the Fourth Proportional to 5,709.42, 8,564.04 and 2,246.67

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Solution

The fourth proportional to 5,709.42, 8,564.04 and 2,246.67 is: 3,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.42 : 8,564.04 = 2,246.67 : x
  2. Step 2: Convert to fraction form
    5,709.42/8,564.04 = 2,246.67/x
  3. Step 3: Cross multiply
    5,709.42x = 8,564.04 × 2,246.67
  4. Step 4: Simplify right side
    5,709.42x = 19,240,571.75
  5. Step 5: Solve for x
    x = 19,240,571.75/5,709.42
  6. Step 6: Final answer
    x = 3,369.97

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