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Finding the Fourth Proportional to 4,736.56, 6,540.56 and 2,971.20

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Solution

The fourth proportional to 4,736.56, 6,540.56 and 2,971.20 is: 4,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.56 : 6,540.56 = 2,971.20 : x
  2. Step 2: Convert to fraction form
    4,736.56/6,540.56 = 2,971.20/x
  3. Step 3: Cross multiply
    4,736.56x = 6,540.56 × 2,971.20
  4. Step 4: Simplify right side
    4,736.56x = 19,433,311.87
  5. Step 5: Solve for x
    x = 19,433,311.87/4,736.56
  6. Step 6: Final answer
    x = 4,102.83

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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.