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Finding the Fourth Proportional to 3,715.13, 5,573.27 and 1,766.67

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Solution

The fourth proportional to 3,715.13, 5,573.27 and 1,766.67 is: 2,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.13 : 5,573.27 = 1,766.67 : x
  2. Step 2: Convert to fraction form
    3,715.13/5,573.27 = 1,766.67/x
  3. Step 3: Cross multiply
    3,715.13x = 5,573.27 × 1,766.67
  4. Step 4: Simplify right side
    3,715.13x = 9,846,133.33
  5. Step 5: Solve for x
    x = 9,846,133.33/3,715.13
  6. Step 6: Final answer
    x = 2,650.28

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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.