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Finding the Fourth Proportional to 3,138.94, 4,709.94 and 1,290.61

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Solution

The fourth proportional to 3,138.94, 4,709.94 and 1,290.61 is: 1,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.94 : 4,709.94 = 1,290.61 : x
  2. Step 2: Convert to fraction form
    3,138.94/4,709.94 = 1,290.61/x
  3. Step 3: Cross multiply
    3,138.94x = 4,709.94 × 1,290.61
  4. Step 4: Simplify right side
    3,138.94x = 6,078,695.66
  5. Step 5: Solve for x
    x = 6,078,695.66/3,138.94
  6. Step 6: Final answer
    x = 1,936.54

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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.