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Finding the Fourth Proportional to 3,625.67, 5,005.83 and 2,784.86

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Solution

The fourth proportional to 3,625.67, 5,005.83 and 2,784.86 is: 3,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.67 : 5,005.83 = 2,784.86 : x
  2. Step 2: Convert to fraction form
    3,625.67/5,005.83 = 2,784.86/x
  3. Step 3: Cross multiply
    3,625.67x = 5,005.83 × 2,784.86
  4. Step 4: Simplify right side
    3,625.67x = 13,940,535.73
  5. Step 5: Solve for x
    x = 13,940,535.73/3,625.67
  6. Step 6: Final answer
    x = 3,844.95

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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.