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Finding the Fourth Proportional to 4,197.07, 5,791.99 and 2,308.60

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Solution

The fourth proportional to 4,197.07, 5,791.99 and 2,308.60 is: 3,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.07 : 5,791.99 = 2,308.60 : x
  2. Step 2: Convert to fraction form
    4,197.07/5,791.99 = 2,308.60/x
  3. Step 3: Cross multiply
    4,197.07x = 5,791.99 × 2,308.60
  4. Step 4: Simplify right side
    4,197.07x = 13,371,359.15
  5. Step 5: Solve for x
    x = 13,371,359.15/4,197.07
  6. Step 6: Final answer
    x = 3,185.88

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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.