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Finding the Fourth Proportional to 5,096.68, 7,033.56 and 3,106.78

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Solution

The fourth proportional to 5,096.68, 7,033.56 and 3,106.78 is: 4,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.68 : 7,033.56 = 3,106.78 : x
  2. Step 2: Convert to fraction form
    5,096.68/7,033.56 = 3,106.78/x
  3. Step 3: Cross multiply
    5,096.68x = 7,033.56 × 3,106.78
  4. Step 4: Simplify right side
    5,096.68x = 21,851,723.54
  5. Step 5: Solve for x
    x = 21,851,723.54/5,096.68
  6. Step 6: Final answer
    x = 4,287.44

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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.