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Finding the Fourth Proportional to 4,047.96, 6,077.40 and 2,589.96

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Solution

The fourth proportional to 4,047.96, 6,077.40 and 2,589.96 is: 3,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.96 : 6,077.40 = 2,589.96 : x
  2. Step 2: Convert to fraction form
    4,047.96/6,077.40 = 2,589.96/x
  3. Step 3: Cross multiply
    4,047.96x = 6,077.40 × 2,589.96
  4. Step 4: Simplify right side
    4,047.96x = 15,740,222.90
  5. Step 5: Solve for x
    x = 15,740,222.90/4,047.96
  6. Step 6: Final answer
    x = 3,888.43

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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.