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Finding the Fourth Proportional to 4,138.01, 6,206.96 and 1,018.05

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Solution

The fourth proportional to 4,138.01, 6,206.96 and 1,018.05 is: 1,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.01 : 6,206.96 = 1,018.05 : x
  2. Step 2: Convert to fraction form
    4,138.01/6,206.96 = 1,018.05/x
  3. Step 3: Cross multiply
    4,138.01x = 6,206.96 × 1,018.05
  4. Step 4: Simplify right side
    4,138.01x = 6,318,990.54
  5. Step 5: Solve for x
    x = 6,318,990.54/4,138.01
  6. Step 6: Final answer
    x = 1,527.06

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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.