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Finding the Fourth Proportional to 5,693.69, 7,857.30 and 3,454.97

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Solution

The fourth proportional to 5,693.69, 7,857.30 and 3,454.97 is: 4,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.69 : 7,857.30 = 3,454.97 : x
  2. Step 2: Convert to fraction form
    5,693.69/7,857.30 = 3,454.97/x
  3. Step 3: Cross multiply
    5,693.69x = 7,857.30 × 3,454.97
  4. Step 4: Simplify right side
    5,693.69x = 27,146,735.78
  5. Step 5: Solve for x
    x = 27,146,735.78/5,693.69
  6. Step 6: Final answer
    x = 4,767.86

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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.