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Finding the Fourth Proportional to 3,367.88, 5,051.67 and 1,288.86

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Solution

The fourth proportional to 3,367.88, 5,051.67 and 1,288.86 is: 1,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.88 : 5,051.67 = 1,288.86 : x
  2. Step 2: Convert to fraction form
    3,367.88/5,051.67 = 1,288.86/x
  3. Step 3: Cross multiply
    3,367.88x = 5,051.67 × 1,288.86
  4. Step 4: Simplify right side
    3,367.88x = 6,510,900.03
  5. Step 5: Solve for x
    x = 6,510,900.03/3,367.88
  6. Step 6: Final answer
    x = 1,933.23

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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.