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Finding the Fourth Proportional to 5,364.97, 8,048.67 and 1,902.22

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Solution

The fourth proportional to 5,364.97, 8,048.67 and 1,902.22 is: 2,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.97 : 8,048.67 = 1,902.22 : x
  2. Step 2: Convert to fraction form
    5,364.97/8,048.67 = 1,902.22/x
  3. Step 3: Cross multiply
    5,364.97x = 8,048.67 × 1,902.22
  4. Step 4: Simplify right side
    5,364.97x = 15,310,341.05
  5. Step 5: Solve for x
    x = 15,310,341.05/5,364.97
  6. Step 6: Final answer
    x = 2,853.76

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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.