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Finding the Fourth Proportional to 4,208.44, 5,806.74 and 2,815.24

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Solution

The fourth proportional to 4,208.44, 5,806.74 and 2,815.24 is: 3,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.44 : 5,806.74 = 2,815.24 : x
  2. Step 2: Convert to fraction form
    4,208.44/5,806.74 = 2,815.24/x
  3. Step 3: Cross multiply
    4,208.44x = 5,806.74 × 2,815.24
  4. Step 4: Simplify right side
    4,208.44x = 16,347,366.72
  5. Step 5: Solve for x
    x = 16,347,366.72/4,208.44
  6. Step 6: Final answer
    x = 3,884.42

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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.