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Finding the Fourth Proportional to 4,682.86, 7,026.72 and 3,394.96

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Solution

The fourth proportional to 4,682.86, 7,026.72 and 3,394.96 is: 5,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.86 : 7,026.72 = 3,394.96 : x
  2. Step 2: Convert to fraction form
    4,682.86/7,026.72 = 3,394.96/x
  3. Step 3: Cross multiply
    4,682.86x = 7,026.72 × 3,394.96
  4. Step 4: Simplify right side
    4,682.86x = 23,855,433.33
  5. Step 5: Solve for x
    x = 23,855,433.33/4,682.86
  6. Step 6: Final answer
    x = 5,094.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.