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Finding the Fourth Proportional to 6,138.81, 8,471.15 and 3,620.35

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Solution

The fourth proportional to 6,138.81, 8,471.15 and 3,620.35 is: 4,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.81 : 8,471.15 = 3,620.35 : x
  2. Step 2: Convert to fraction form
    6,138.81/8,471.15 = 3,620.35/x
  3. Step 3: Cross multiply
    6,138.81x = 8,471.15 × 3,620.35
  4. Step 4: Simplify right side
    6,138.81x = 30,668,506.68
  5. Step 5: Solve for x
    x = 30,668,506.68/6,138.81
  6. Step 6: Final answer
    x = 4,995.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.