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Finding the Fourth Proportional to 4,091.99, 6,138.54 and 1,317.74

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Solution

The fourth proportional to 4,091.99, 6,138.54 and 1,317.74 is: 1,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.99 : 6,138.54 = 1,317.74 : x
  2. Step 2: Convert to fraction form
    4,091.99/6,138.54 = 1,317.74/x
  3. Step 3: Cross multiply
    4,091.99x = 6,138.54 × 1,317.74
  4. Step 4: Simplify right side
    4,091.99x = 8,088,969.01
  5. Step 5: Solve for x
    x = 8,088,969.01/4,091.99
  6. Step 6: Final answer
    x = 1,976.78

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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.