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Finding the Fourth Proportional to 4,138.96, 6,204.12 and 1,540.84

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Solution

The fourth proportional to 4,138.96, 6,204.12 and 1,540.84 is: 2,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.96 : 6,204.12 = 1,540.84 : x
  2. Step 2: Convert to fraction form
    4,138.96/6,204.12 = 1,540.84/x
  3. Step 3: Cross multiply
    4,138.96x = 6,204.12 × 1,540.84
  4. Step 4: Simplify right side
    4,138.96x = 9,559,556.26
  5. Step 5: Solve for x
    x = 9,559,556.26/4,138.96
  6. Step 6: Final answer
    x = 2,309.65

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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.