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Finding the Fourth Proportional to 4,902.52, 6,765.34 and 2,664.36

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Solution

The fourth proportional to 4,902.52, 6,765.34 and 2,664.36 is: 3,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.52 : 6,765.34 = 2,664.36 : x
  2. Step 2: Convert to fraction form
    4,902.52/6,765.34 = 2,664.36/x
  3. Step 3: Cross multiply
    4,902.52x = 6,765.34 × 2,664.36
  4. Step 4: Simplify right side
    4,902.52x = 18,025,301.28
  5. Step 5: Solve for x
    x = 18,025,301.28/4,902.52
  6. Step 6: Final answer
    x = 3,676.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.