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Finding the Fourth Proportional to 4,902.81, 6,765.81 and 2,664.63

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Solution

The fourth proportional to 4,902.81, 6,765.81 and 2,664.63 is: 3,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.81 : 6,765.81 = 2,664.63 : x
  2. Step 2: Convert to fraction form
    4,902.81/6,765.81 = 2,664.63/x
  3. Step 3: Cross multiply
    4,902.81x = 6,765.81 × 2,664.63
  4. Step 4: Simplify right side
    4,902.81x = 18,028,370.31
  5. Step 5: Solve for x
    x = 18,028,370.31/4,902.81
  6. Step 6: Final answer
    x = 3,677.15

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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.