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Finding the Fourth Proportional to 4,138.42, 6,201.54 and 3,093.52

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Solution

The fourth proportional to 4,138.42, 6,201.54 and 3,093.52 is: 4,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.42 : 6,201.54 = 3,093.52 : x
  2. Step 2: Convert to fraction form
    4,138.42/6,201.54 = 3,093.52/x
  3. Step 3: Cross multiply
    4,138.42x = 6,201.54 × 3,093.52
  4. Step 4: Simplify right side
    4,138.42x = 19,184,588.02
  5. Step 5: Solve for x
    x = 19,184,588.02/4,138.42
  6. Step 6: Final answer
    x = 4,635.73

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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.