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Finding the Fourth Proportional to 4,354.26, 6,004.74 and 2,863.44

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Solution

The fourth proportional to 4,354.26, 6,004.74 and 2,863.44 is: 3,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.26 : 6,004.74 = 2,863.44 : x
  2. Step 2: Convert to fraction form
    4,354.26/6,004.74 = 2,863.44/x
  3. Step 3: Cross multiply
    4,354.26x = 6,004.74 × 2,863.44
  4. Step 4: Simplify right side
    4,354.26x = 17,194,212.71
  5. Step 5: Solve for x
    x = 17,194,212.71/4,354.26
  6. Step 6: Final answer
    x = 3,948.83

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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.