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Finding the Fourth Proportional to 3,830.36, 5,744.05 and 1,490.06

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Solution

The fourth proportional to 3,830.36, 5,744.05 and 1,490.06 is: 2,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.36 : 5,744.05 = 1,490.06 : x
  2. Step 2: Convert to fraction form
    3,830.36/5,744.05 = 1,490.06/x
  3. Step 3: Cross multiply
    3,830.36x = 5,744.05 × 1,490.06
  4. Step 4: Simplify right side
    3,830.36x = 8,558,942.97
  5. Step 5: Solve for x
    x = 8,558,942.97/3,830.36
  6. Step 6: Final answer
    x = 2,234.50

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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.