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Finding the Fourth Proportional to 4,147.96, 5,724.20 and 2,379.72

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Solution

The fourth proportional to 4,147.96, 5,724.20 and 2,379.72 is: 3,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.96 : 5,724.20 = 2,379.72 : x
  2. Step 2: Convert to fraction form
    4,147.96/5,724.20 = 2,379.72/x
  3. Step 3: Cross multiply
    4,147.96x = 5,724.20 × 2,379.72
  4. Step 4: Simplify right side
    4,147.96x = 13,621,993.22
  5. Step 5: Solve for x
    x = 13,621,993.22/4,147.96
  6. Step 6: Final answer
    x = 3,284.02

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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.