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Finding the Fourth Proportional to 5,857.92, 8,092.71 and 3,846.11

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Solution

The fourth proportional to 5,857.92, 8,092.71 and 3,846.11 is: 5,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.92 : 8,092.71 = 3,846.11 : x
  2. Step 2: Convert to fraction form
    5,857.92/8,092.71 = 3,846.11/x
  3. Step 3: Cross multiply
    5,857.92x = 8,092.71 × 3,846.11
  4. Step 4: Simplify right side
    5,857.92x = 31,125,412.39
  5. Step 5: Solve for x
    x = 31,125,412.39/5,857.92
  6. Step 6: Final answer
    x = 5,313.39

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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.