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Finding the Fourth Proportional to 3,194.35, 4,408.52 and 1,935.72

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Solution

The fourth proportional to 3,194.35, 4,408.52 and 1,935.72 is: 2,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.35 : 4,408.52 = 1,935.72 : x
  2. Step 2: Convert to fraction form
    3,194.35/4,408.52 = 1,935.72/x
  3. Step 3: Cross multiply
    3,194.35x = 4,408.52 × 1,935.72
  4. Step 4: Simplify right side
    3,194.35x = 8,533,650.66
  5. Step 5: Solve for x
    x = 8,533,650.66/3,194.35
  6. Step 6: Final answer
    x = 2,671.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.