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Finding the Fourth Proportional to 5,117.70, 7,676.18 and 1,997.12

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Solution

The fourth proportional to 5,117.70, 7,676.18 and 1,997.12 is: 2,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.70 : 7,676.18 = 1,997.12 : x
  2. Step 2: Convert to fraction form
    5,117.70/7,676.18 = 1,997.12/x
  3. Step 3: Cross multiply
    5,117.70x = 7,676.18 × 1,997.12
  4. Step 4: Simplify right side
    5,117.70x = 15,330,280.53
  5. Step 5: Solve for x
    x = 15,330,280.53/5,117.70
  6. Step 6: Final answer
    x = 2,995.54

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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.