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Finding the Fourth Proportional to 3,800.52, 5,265 and 3,709.80

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Solution

The fourth proportional to 3,800.52, 5,265 and 3,709.80 is: 5,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.52 : 5,265 = 3,709.80 : x
  2. Step 2: Convert to fraction form
    3,800.52/5,265 = 3,709.80/x
  3. Step 3: Cross multiply
    3,800.52x = 5,265 × 3,709.80
  4. Step 4: Simplify right side
    3,800.52x = 19,532,097
  5. Step 5: Solve for x
    x = 19,532,097/3,800.52
  6. Step 6: Final answer
    x = 5,139.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.