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Finding the Fourth Proportional to 4,096.63, 6,140.62 and 1,757.76

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Solution

The fourth proportional to 4,096.63, 6,140.62 and 1,757.76 is: 2,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.63 : 6,140.62 = 1,757.76 : x
  2. Step 2: Convert to fraction form
    4,096.63/6,140.62 = 1,757.76/x
  3. Step 3: Cross multiply
    4,096.63x = 6,140.62 × 1,757.76
  4. Step 4: Simplify right side
    4,096.63x = 10,793,736.21
  5. Step 5: Solve for x
    x = 10,793,736.21/4,096.63
  6. Step 6: Final answer
    x = 2,634.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.