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Finding the Fourth Proportional to 4,196.76, 5,795.60 and 3,147

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Solution

The fourth proportional to 4,196.76, 5,795.60 and 3,147 is: 4,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.76 : 5,795.60 = 3,147 : x
  2. Step 2: Convert to fraction form
    4,196.76/5,795.60 = 3,147/x
  3. Step 3: Cross multiply
    4,196.76x = 5,795.60 × 3,147
  4. Step 4: Simplify right side
    4,196.76x = 18,238,737.47
  5. Step 5: Solve for x
    x = 18,238,737.47/4,196.76
  6. Step 6: Final answer
    x = 4,345.91

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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.