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Finding the Fourth Proportional to 4,226.40, 6,344.80 and 2,666.40

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Solution

The fourth proportional to 4,226.40, 6,344.80 and 2,666.40 is: 4,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.40 : 6,344.80 = 2,666.40 : x
  2. Step 2: Convert to fraction form
    4,226.40/6,344.80 = 2,666.40/x
  3. Step 3: Cross multiply
    4,226.40x = 6,344.80 × 2,666.40
  4. Step 4: Simplify right side
    4,226.40x = 16,917,774.72
  5. Step 5: Solve for x
    x = 16,917,774.72/4,226.40
  6. Step 6: Final answer
    x = 4,002.88

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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.