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Finding the Fourth Proportional to 3,902.76, 5,846.85 and 2,051.64

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Solution

The fourth proportional to 3,902.76, 5,846.85 and 2,051.64 is: 3,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,846.85 = 2,051.64 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,846.85 = 2,051.64/x
  3. Step 3: Cross multiply
    3,902.76x = 5,846.85 × 2,051.64
  4. Step 4: Simplify right side
    3,902.76x = 11,995,631.33
  5. Step 5: Solve for x
    x = 11,995,631.33/3,902.76
  6. Step 6: Final answer
    x = 3,073.63

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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.