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Finding the Fourth Proportional to 4,902.60, 6,764.92 and 2,912.43

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Solution

The fourth proportional to 4,902.60, 6,764.92 and 2,912.43 is: 4,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.60 : 6,764.92 = 2,912.43 : x
  2. Step 2: Convert to fraction form
    4,902.60/6,764.92 = 2,912.43/x
  3. Step 3: Cross multiply
    4,902.60x = 6,764.92 × 2,912.43
  4. Step 4: Simplify right side
    4,902.60x = 19,702,355.96
  5. Step 5: Solve for x
    x = 19,702,355.96/4,902.60
  6. Step 6: Final answer
    x = 4,018.76

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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.