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Finding the Fourth Proportional to 3,137.52, 4,703.37 and 1,188.42

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Solution

The fourth proportional to 3,137.52, 4,703.37 and 1,188.42 is: 1,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.52 : 4,703.37 = 1,188.42 : x
  2. Step 2: Convert to fraction form
    3,137.52/4,703.37 = 1,188.42/x
  3. Step 3: Cross multiply
    3,137.52x = 4,703.37 × 1,188.42
  4. Step 4: Simplify right side
    3,137.52x = 5,589,578.98
  5. Step 5: Solve for x
    x = 5,589,578.98/3,137.52
  6. Step 6: Final answer
    x = 1,781.53

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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.