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Finding the Fourth Proportional to 3,829.41, 5,284.41 and 2,150.79

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Solution

The fourth proportional to 3,829.41, 5,284.41 and 2,150.79 is: 2,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.41 : 5,284.41 = 2,150.79 : x
  2. Step 2: Convert to fraction form
    3,829.41/5,284.41 = 2,150.79/x
  3. Step 3: Cross multiply
    3,829.41x = 5,284.41 × 2,150.79
  4. Step 4: Simplify right side
    3,829.41x = 11,365,656.18
  5. Step 5: Solve for x
    x = 11,365,656.18/3,829.41
  6. Step 6: Final answer
    x = 2,967.99

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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.