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Finding the Fourth Proportional to 5,686.33, 7,838.04 and 3,794.17

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Solution

The fourth proportional to 5,686.33, 7,838.04 and 3,794.17 is: 5,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.33 : 7,838.04 = 3,794.17 : x
  2. Step 2: Convert to fraction form
    5,686.33/7,838.04 = 3,794.17/x
  3. Step 3: Cross multiply
    5,686.33x = 7,838.04 × 3,794.17
  4. Step 4: Simplify right side
    5,686.33x = 29,738,850.86
  5. Step 5: Solve for x
    x = 29,738,850.86/5,686.33
  6. Step 6: Final answer
    x = 5,229.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.