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Finding the Fourth Proportional to 3,997.50, 5,516.53 and 2,229

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Solution

The fourth proportional to 3,997.50, 5,516.53 and 2,229 is: 3,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.50 : 5,516.53 = 2,229 : x
  2. Step 2: Convert to fraction form
    3,997.50/5,516.53 = 2,229/x
  3. Step 3: Cross multiply
    3,997.50x = 5,516.53 × 2,229
  4. Step 4: Simplify right side
    3,997.50x = 12,296,345.37
  5. Step 5: Solve for x
    x = 12,296,345.37/3,997.50
  6. Step 6: Final answer
    x = 3,076.01

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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.