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Finding the Fourth Proportional to 3,853.69, 5,319.40 and 2,968.36

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Solution

The fourth proportional to 3,853.69, 5,319.40 and 2,968.36 is: 4,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.69 : 5,319.40 = 2,968.36 : x
  2. Step 2: Convert to fraction form
    3,853.69/5,319.40 = 2,968.36/x
  3. Step 3: Cross multiply
    3,853.69x = 5,319.40 × 2,968.36
  4. Step 4: Simplify right side
    3,853.69x = 15,789,867.59
  5. Step 5: Solve for x
    x = 15,789,867.59/3,853.69
  6. Step 6: Final answer
    x = 4,097.34

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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.