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Finding the Fourth Proportional to 5,846.64, 8,068.32 and 3,194

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Solution

The fourth proportional to 5,846.64, 8,068.32 and 3,194 is: 4,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.64 : 8,068.32 = 3,194 : x
  2. Step 2: Convert to fraction form
    5,846.64/8,068.32 = 3,194/x
  3. Step 3: Cross multiply
    5,846.64x = 8,068.32 × 3,194
  4. Step 4: Simplify right side
    5,846.64x = 25,770,214.08
  5. Step 5: Solve for x
    x = 25,770,214.08/5,846.64
  6. Step 6: Final answer
    x = 4,407.70

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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.