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Finding the Fourth Proportional to 4,821.63, 7,229.67 and 1,898.34

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Solution

The fourth proportional to 4,821.63, 7,229.67 and 1,898.34 is: 2,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.63 : 7,229.67 = 1,898.34 : x
  2. Step 2: Convert to fraction form
    4,821.63/7,229.67 = 1,898.34/x
  3. Step 3: Cross multiply
    4,821.63x = 7,229.67 × 1,898.34
  4. Step 4: Simplify right side
    4,821.63x = 13,724,371.75
  5. Step 5: Solve for x
    x = 13,724,371.75/4,821.63
  6. Step 6: Final answer
    x = 2,846.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.