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Finding the Fourth Proportional to 3,829.69, 5,284.87 and 2,151.28

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Solution

The fourth proportional to 3,829.69, 5,284.87 and 2,151.28 is: 2,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.69 : 5,284.87 = 2,151.28 : x
  2. Step 2: Convert to fraction form
    3,829.69/5,284.87 = 2,151.28/x
  3. Step 3: Cross multiply
    3,829.69x = 5,284.87 × 2,151.28
  4. Step 4: Simplify right side
    3,829.69x = 11,369,216.54
  5. Step 5: Solve for x
    x = 11,369,216.54/3,829.69
  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.