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Finding the Fourth Proportional to 5,096.39, 7,659.02 and 3,016.78

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Solution

The fourth proportional to 5,096.39, 7,659.02 and 3,016.78 is: 4,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.39 : 7,659.02 = 3,016.78 : x
  2. Step 2: Convert to fraction form
    5,096.39/7,659.02 = 3,016.78/x
  3. Step 3: Cross multiply
    5,096.39x = 7,659.02 × 3,016.78
  4. Step 4: Simplify right side
    5,096.39x = 23,105,566.75
  5. Step 5: Solve for x
    x = 23,105,566.75/5,096.39
  6. Step 6: Final answer
    x = 4,533.72

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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.