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Finding the Fourth Proportional to 3,377.84, 5,067.44 and 1,188.11

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Solution

The fourth proportional to 3,377.84, 5,067.44 and 1,188.11 is: 1,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.84 : 5,067.44 = 1,188.11 : x
  2. Step 2: Convert to fraction form
    3,377.84/5,067.44 = 1,188.11/x
  3. Step 3: Cross multiply
    3,377.84x = 5,067.44 × 1,188.11
  4. Step 4: Simplify right side
    3,377.84x = 6,020,644.86
  5. Step 5: Solve for x
    x = 6,020,644.86/3,377.84
  6. Step 6: Final answer
    x = 1,782.40

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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.