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Finding the Fourth Proportional to 4,219.38, 5,817.24 and 2,890.80

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Solution

The fourth proportional to 4,219.38, 5,817.24 and 2,890.80 is: 3,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.38 : 5,817.24 = 2,890.80 : x
  2. Step 2: Convert to fraction form
    4,219.38/5,817.24 = 2,890.80/x
  3. Step 3: Cross multiply
    4,219.38x = 5,817.24 × 2,890.80
  4. Step 4: Simplify right side
    4,219.38x = 16,816,477.39
  5. Step 5: Solve for x
    x = 16,816,477.39/4,219.38
  6. Step 6: Final answer
    x = 3,985.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.