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Finding the Fourth Proportional to 5,709.78, 8,564.76 and 2,247

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Solution

The fourth proportional to 5,709.78, 8,564.76 and 2,247 is: 3,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.78 : 8,564.76 = 2,247 : x
  2. Step 2: Convert to fraction form
    5,709.78/8,564.76 = 2,247/x
  3. Step 3: Cross multiply
    5,709.78x = 8,564.76 × 2,247
  4. Step 4: Simplify right side
    5,709.78x = 19,245,015.72
  5. Step 5: Solve for x
    x = 19,245,015.72/5,709.78
  6. Step 6: Final answer
    x = 3,370.54

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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.