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Finding the Fourth Proportional to 5,846.92, 8,068.78 and 3,194.39

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Solution

The fourth proportional to 5,846.92, 8,068.78 and 3,194.39 is: 4,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.92 : 8,068.78 = 3,194.39 : x
  2. Step 2: Convert to fraction form
    5,846.92/8,068.78 = 3,194.39/x
  3. Step 3: Cross multiply
    5,846.92x = 8,068.78 × 3,194.39
  4. Step 4: Simplify right side
    5,846.92x = 25,774,795.45
  5. Step 5: Solve for x
    x = 25,774,795.45/5,846.92
  6. Step 6: Final answer
    x = 4,408.27

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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.