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Finding the Fourth Proportional to 3,880, 5,820.32 and 1,144

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Solution

The fourth proportional to 3,880, 5,820.32 and 1,144 is: 1,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880 : 5,820.32 = 1,144 : x
  2. Step 2: Convert to fraction form
    3,880/5,820.32 = 1,144/x
  3. Step 3: Cross multiply
    3,880x = 5,820.32 × 1,144
  4. Step 4: Simplify right side
    3,880x = 6,658,446.08
  5. Step 5: Solve for x
    x = 6,658,446.08/3,880
  6. Step 6: Final answer
    x = 1,716.09

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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.