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Finding the Fourth Proportional to 5,200.70, 7,805.14 and 2,425.94

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Solution

The fourth proportional to 5,200.70, 7,805.14 and 2,425.94 is: 3,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.70 : 7,805.14 = 2,425.94 : x
  2. Step 2: Convert to fraction form
    5,200.70/7,805.14 = 2,425.94/x
  3. Step 3: Cross multiply
    5,200.70x = 7,805.14 × 2,425.94
  4. Step 4: Simplify right side
    5,200.70x = 18,934,801.33
  5. Step 5: Solve for x
    x = 18,934,801.33/5,200.70
  6. Step 6: Final answer
    x = 3,640.82

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1.5x scale

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.