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Finding the Fourth Proportional to 3,367.96, 5,054.04 and 1,288.14

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Solution

The fourth proportional to 3,367.96, 5,054.04 and 1,288.14 is: 1,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.96 : 5,054.04 = 1,288.14 : x
  2. Step 2: Convert to fraction form
    3,367.96/5,054.04 = 1,288.14/x
  3. Step 3: Cross multiply
    3,367.96x = 5,054.04 × 1,288.14
  4. Step 4: Simplify right side
    3,367.96x = 6,510,311.09
  5. Step 5: Solve for x
    x = 6,510,311.09/3,367.96
  6. Step 6: Final answer
    x = 1,933.01

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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.