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Finding the Fourth Proportional to 4,126, 6,183.38 and 1,903.54

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Solution

The fourth proportional to 4,126, 6,183.38 and 1,903.54 is: 2,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126 : 6,183.38 = 1,903.54 : x
  2. Step 2: Convert to fraction form
    4,126/6,183.38 = 1,903.54/x
  3. Step 3: Cross multiply
    4,126x = 6,183.38 × 1,903.54
  4. Step 4: Simplify right side
    4,126x = 11,770,311.17
  5. Step 5: Solve for x
    x = 11,770,311.17/4,126
  6. Step 6: Final answer
    x = 2,852.72

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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.