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Finding the Fourth Proportional to 4,181.67, 5,697 and 4,096.31

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Solution

The fourth proportional to 4,181.67, 5,697 and 4,096.31 is: 5,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.67 : 5,697 = 4,096.31 : x
  2. Step 2: Convert to fraction form
    4,181.67/5,697 = 4,096.31/x
  3. Step 3: Cross multiply
    4,181.67x = 5,697 × 4,096.31
  4. Step 4: Simplify right side
    4,181.67x = 23,336,649.59
  5. Step 5: Solve for x
    x = 23,336,649.59/4,181.67
  6. Step 6: Final answer
    x = 5,580.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.