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Finding the Fourth Proportional to 4,226.40, 6,341.40 and 2,667.60

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Solution

The fourth proportional to 4,226.40, 6,341.40 and 2,667.60 is: 4,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.40 : 6,341.40 = 2,667.60 : x
  2. Step 2: Convert to fraction form
    4,226.40/6,341.40 = 2,667.60/x
  3. Step 3: Cross multiply
    4,226.40x = 6,341.40 × 2,667.60
  4. Step 4: Simplify right side
    4,226.40x = 16,916,318.64
  5. Step 5: Solve for x
    x = 16,916,318.64/4,226.40
  6. Step 6: Final answer
    x = 4,002.54

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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.