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Finding the Fourth Proportional to 4,311.64, 6,454.62 and 2,662.84

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Solution

The fourth proportional to 4,311.64, 6,454.62 and 2,662.84 is: 3,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.64 : 6,454.62 = 2,662.84 : x
  2. Step 2: Convert to fraction form
    4,311.64/6,454.62 = 2,662.84/x
  3. Step 3: Cross multiply
    4,311.64x = 6,454.62 × 2,662.84
  4. Step 4: Simplify right side
    4,311.64x = 17,187,620.32
  5. Step 5: Solve for x
    x = 17,187,620.32/4,311.64
  6. Step 6: Final answer
    x = 3,986.33

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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.