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Finding the Fourth Proportional to 4,219.57, 5,816.38 and 2,890.99

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Solution

The fourth proportional to 4,219.57, 5,816.38 and 2,890.99 is: 3,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.57 : 5,816.38 = 2,890.99 : x
  2. Step 2: Convert to fraction form
    4,219.57/5,816.38 = 2,890.99/x
  3. Step 3: Cross multiply
    4,219.57x = 5,816.38 × 2,890.99
  4. Step 4: Simplify right side
    4,219.57x = 16,815,096.42
  5. Step 5: Solve for x
    x = 16,815,096.42/4,219.57
  6. Step 6: Final answer
    x = 3,985.03

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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.