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Finding the Fourth Proportional to 4,833.90, 6,671.22 and 2,844

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Solution

The fourth proportional to 4,833.90, 6,671.22 and 2,844 is: 3,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.90 : 6,671.22 = 2,844 : x
  2. Step 2: Convert to fraction form
    4,833.90/6,671.22 = 2,844/x
  3. Step 3: Cross multiply
    4,833.90x = 6,671.22 × 2,844
  4. Step 4: Simplify right side
    4,833.90x = 18,972,949.68
  5. Step 5: Solve for x
    x = 18,972,949.68/4,833.90
  6. Step 6: Final answer
    x = 3,924.98

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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.