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Finding the Fourth Proportional to 3,829.57, 5,284.71 and 2,150.93

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Solution

The fourth proportional to 3,829.57, 5,284.71 and 2,150.93 is: 2,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.57 : 5,284.71 = 2,150.93 : x
  2. Step 2: Convert to fraction form
    3,829.57/5,284.71 = 2,150.93/x
  3. Step 3: Cross multiply
    3,829.57x = 5,284.71 × 2,150.93
  4. Step 4: Simplify right side
    3,829.57x = 11,367,054.49
  5. Step 5: Solve for x
    x = 11,367,054.49/3,829.57
  6. Step 6: Final answer
    x = 2,968.23

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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.