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Finding the Fourth Proportional to 4,906.82, 7,355.19 and 2,565.58

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Solution

The fourth proportional to 4,906.82, 7,355.19 and 2,565.58 is: 3,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.82 : 7,355.19 = 2,565.58 : x
  2. Step 2: Convert to fraction form
    4,906.82/7,355.19 = 2,565.58/x
  3. Step 3: Cross multiply
    4,906.82x = 7,355.19 × 2,565.58
  4. Step 4: Simplify right side
    4,906.82x = 18,870,291.58
  5. Step 5: Solve for x
    x = 18,870,291.58/4,906.82
  6. Step 6: Final answer
    x = 3,845.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.