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Finding the Fourth Proportional to 4,827.87, 7,244.37 and 1,906.20

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Solution

The fourth proportional to 4,827.87, 7,244.37 and 1,906.20 is: 2,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.87 : 7,244.37 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    4,827.87/7,244.37 = 1,906.20/x
  3. Step 3: Cross multiply
    4,827.87x = 7,244.37 × 1,906.20
  4. Step 4: Simplify right side
    4,827.87x = 13,809,218.09
  5. Step 5: Solve for x
    x = 13,809,218.09/4,827.87
  6. Step 6: Final answer
    x = 2,860.31

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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.