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Finding the Fourth Proportional to 4,902.21, 6,764.98 and 2,663.98

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Solution

The fourth proportional to 4,902.21, 6,764.98 and 2,663.98 is: 3,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.21 : 6,764.98 = 2,663.98 : x
  2. Step 2: Convert to fraction form
    4,902.21/6,764.98 = 2,663.98/x
  3. Step 3: Cross multiply
    4,902.21x = 6,764.98 × 2,663.98
  4. Step 4: Simplify right side
    4,902.21x = 18,021,771.42
  5. Step 5: Solve for x
    x = 18,021,771.42/4,902.21
  6. Step 6: Final answer
    x = 3,676.25

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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.