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Finding the Fourth Proportional to 4,902.67, 6,765.86 and 2,664.71

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Solution

The fourth proportional to 4,902.67, 6,765.86 and 2,664.71 is: 3,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.67 : 6,765.86 = 2,664.71 : x
  2. Step 2: Convert to fraction form
    4,902.67/6,765.86 = 2,664.71/x
  3. Step 3: Cross multiply
    4,902.67x = 6,765.86 × 2,664.71
  4. Step 4: Simplify right side
    4,902.67x = 18,029,058.39
  5. Step 5: Solve for x
    x = 18,029,058.39/4,902.67
  6. Step 6: Final answer
    x = 3,677.40

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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.