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Finding the Fourth Proportional to 3,634.72, 5,022.72 and 2,971.32

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Solution

The fourth proportional to 3,634.72, 5,022.72 and 2,971.32 is: 4,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.72 : 5,022.72 = 2,971.32 : x
  2. Step 2: Convert to fraction form
    3,634.72/5,022.72 = 2,971.32/x
  3. Step 3: Cross multiply
    3,634.72x = 5,022.72 × 2,971.32
  4. Step 4: Simplify right side
    3,634.72x = 14,924,108.39
  5. Step 5: Solve for x
    x = 14,924,108.39/3,634.72
  6. Step 6: Final answer
    x = 4,105.99

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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.