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Finding the Fourth Proportional to 4,091.99, 6,138.85 and 2,337.82

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Solution

The fourth proportional to 4,091.99, 6,138.85 and 2,337.82 is: 3,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.99 : 6,138.85 = 2,337.82 : x
  2. Step 2: Convert to fraction form
    4,091.99/6,138.85 = 2,337.82/x
  3. Step 3: Cross multiply
    4,091.99x = 6,138.85 × 2,337.82
  4. Step 4: Simplify right side
    4,091.99x = 14,351,526.31
  5. Step 5: Solve for x
    x = 14,351,526.31/4,091.99
  6. Step 6: Final answer
    x = 3,507.22

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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.