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Finding the Fourth Proportional to 4,902.48, 6,765.26 and 2,664.32

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Solution

The fourth proportional to 4,902.48, 6,765.26 and 2,664.32 is: 3,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.48 : 6,765.26 = 2,664.32 : x
  2. Step 2: Convert to fraction form
    4,902.48/6,765.26 = 2,664.32/x
  3. Step 3: Cross multiply
    4,902.48x = 6,765.26 × 2,664.32
  4. Step 4: Simplify right side
    4,902.48x = 18,024,770.38
  5. Step 5: Solve for x
    x = 18,024,770.38/4,902.48
  6. Step 6: Final answer
    x = 3,676.66

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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.