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Finding the Fourth Proportional to 3,709.26, 5,564.50 and 1,760.40

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Solution

The fourth proportional to 3,709.26, 5,564.50 and 1,760.40 is: 2,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.26 : 5,564.50 = 1,760.40 : x
  2. Step 2: Convert to fraction form
    3,709.26/5,564.50 = 1,760.40/x
  3. Step 3: Cross multiply
    3,709.26x = 5,564.50 × 1,760.40
  4. Step 4: Simplify right side
    3,709.26x = 9,795,745.80
  5. Step 5: Solve for x
    x = 9,795,745.80/3,709.26
  6. Step 6: Final answer
    x = 2,640.89

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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.