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Finding the Fourth Proportional to 5,846.54, 8,068.10 and 3,193.88

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Solution

The fourth proportional to 5,846.54, 8,068.10 and 3,193.88 is: 4,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.54 : 8,068.10 = 3,193.88 : x
  2. Step 2: Convert to fraction form
    5,846.54/8,068.10 = 3,193.88/x
  3. Step 3: Cross multiply
    5,846.54x = 8,068.10 × 3,193.88
  4. Step 4: Simplify right side
    5,846.54x = 25,768,486.92
  5. Step 5: Solve for x
    x = 25,768,486.92/5,846.54
  6. Step 6: Final answer
    x = 4,407.48

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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.