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Finding the Fourth Proportional to 5,336.40, 7,998.60 and 2,564.40

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Solution

The fourth proportional to 5,336.40, 7,998.60 and 2,564.40 is: 3,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.40 : 7,998.60 = 2,564.40 : x
  2. Step 2: Convert to fraction form
    5,336.40/7,998.60 = 2,564.40/x
  3. Step 3: Cross multiply
    5,336.40x = 7,998.60 × 2,564.40
  4. Step 4: Simplify right side
    5,336.40x = 20,511,609.84
  5. Step 5: Solve for x
    x = 20,511,609.84/5,336.40
  6. Step 6: Final answer
    x = 3,843.72

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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.