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Finding the Fourth Proportional to 3,829.70, 5,284.86 and 2,151.29

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Solution

The fourth proportional to 3,829.70, 5,284.86 and 2,151.29 is: 2,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.70 : 5,284.86 = 2,151.29 : x
  2. Step 2: Convert to fraction form
    3,829.70/5,284.86 = 2,151.29/x
  3. Step 3: Cross multiply
    3,829.70x = 5,284.86 × 2,151.29
  4. Step 4: Simplify right side
    3,829.70x = 11,369,240.05
  5. Step 5: Solve for x
    x = 11,369,240.05/3,829.70
  6. Step 6: Final answer
    x = 2,968.71

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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.