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Finding the Fourth Proportional to 3,827.26, 5,735.54 and 2,068.47

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Solution

The fourth proportional to 3,827.26, 5,735.54 and 2,068.47 is: 3,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.26 : 5,735.54 = 2,068.47 : x
  2. Step 2: Convert to fraction form
    3,827.26/5,735.54 = 2,068.47/x
  3. Step 3: Cross multiply
    3,827.26x = 5,735.54 × 2,068.47
  4. Step 4: Simplify right side
    3,827.26x = 11,863,808.35
  5. Step 5: Solve for x
    x = 11,863,808.35/3,827.26
  6. Step 6: Final answer
    x = 3,099.82

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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.