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Finding the Fourth Proportional to 4,196.52, 5,791.77 and 3,146.76

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Solution

The fourth proportional to 4,196.52, 5,791.77 and 3,146.76 is: 4,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.52 : 5,791.77 = 3,146.76 : x
  2. Step 2: Convert to fraction form
    4,196.52/5,791.77 = 3,146.76/x
  3. Step 3: Cross multiply
    4,196.52x = 5,791.77 × 3,146.76
  4. Step 4: Simplify right side
    4,196.52x = 18,225,310.17
  5. Step 5: Solve for x
    x = 18,225,310.17/4,196.52
  6. Step 6: Final answer
    x = 4,342.96

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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.