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Finding the Fourth Proportional to 5,474.81, 8,206.73 and 2,138.47

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Solution

The fourth proportional to 5,474.81, 8,206.73 and 2,138.47 is: 3,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.81 : 8,206.73 = 2,138.47 : x
  2. Step 2: Convert to fraction form
    5,474.81/8,206.73 = 2,138.47/x
  3. Step 3: Cross multiply
    5,474.81x = 8,206.73 × 2,138.47
  4. Step 4: Simplify right side
    5,474.81x = 17,549,822.71
  5. Step 5: Solve for x
    x = 17,549,822.71/5,474.81
  6. Step 6: Final answer
    x = 3,205.56

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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.