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Finding the Fourth Proportional to 5,754.56, 7,939.96 and 3,397.05

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Solution

The fourth proportional to 5,754.56, 7,939.96 and 3,397.05 is: 4,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.56 : 7,939.96 = 3,397.05 : x
  2. Step 2: Convert to fraction form
    5,754.56/7,939.96 = 3,397.05/x
  3. Step 3: Cross multiply
    5,754.56x = 7,939.96 × 3,397.05
  4. Step 4: Simplify right side
    5,754.56x = 26,972,432.63
  5. Step 5: Solve for x
    x = 26,972,432.63/5,754.56
  6. Step 6: Final answer
    x = 4,687.14

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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.