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Finding the Fourth Proportional to 5,096.72, 7,645.08 and 2,018

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Solution

The fourth proportional to 5,096.72, 7,645.08 and 2,018 is: 3,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.72 : 7,645.08 = 2,018 : x
  2. Step 2: Convert to fraction form
    5,096.72/7,645.08 = 2,018/x
  3. Step 3: Cross multiply
    5,096.72x = 7,645.08 × 2,018
  4. Step 4: Simplify right side
    5,096.72x = 15,427,771.44
  5. Step 5: Solve for x
    x = 15,427,771.44/5,096.72
  6. Step 6: Final answer
    x = 3,027.00

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Why These Related Problems?

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