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Finding the Fourth Proportional to 5,161.32, 7,744.68 and 2,823

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Solution

The fourth proportional to 5,161.32, 7,744.68 and 2,823 is: 4,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.32 : 7,744.68 = 2,823 : x
  2. Step 2: Convert to fraction form
    5,161.32/7,744.68 = 2,823/x
  3. Step 3: Cross multiply
    5,161.32x = 7,744.68 × 2,823
  4. Step 4: Simplify right side
    5,161.32x = 21,863,231.64
  5. Step 5: Solve for x
    x = 21,863,231.64/5,161.32
  6. Step 6: Final answer
    x = 4,235.98

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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.