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Finding the Fourth Proportional to 4,196.30, 5,791.03 and 2,308.10

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Solution

The fourth proportional to 4,196.30, 5,791.03 and 2,308.10 is: 3,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.30 : 5,791.03 = 2,308.10 : x
  2. Step 2: Convert to fraction form
    4,196.30/5,791.03 = 2,308.10/x
  3. Step 3: Cross multiply
    4,196.30x = 5,791.03 × 2,308.10
  4. Step 4: Simplify right side
    4,196.30x = 13,366,241.62
  5. Step 5: Solve for x
    x = 13,366,241.62/4,196.30
  6. Step 6: Final answer
    x = 3,185.25

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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.