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Finding the Fourth Proportional to 4,146.36, 5,723.36 and 2,379.75

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Solution

The fourth proportional to 4,146.36, 5,723.36 and 2,379.75 is: 3,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.36 : 5,723.36 = 2,379.75 : x
  2. Step 2: Convert to fraction form
    4,146.36/5,723.36 = 2,379.75/x
  3. Step 3: Cross multiply
    4,146.36x = 5,723.36 × 2,379.75
  4. Step 4: Simplify right side
    4,146.36x = 13,620,165.96
  5. Step 5: Solve for x
    x = 13,620,165.96/4,146.36
  6. Step 6: Final answer
    x = 3,284.85

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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.