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Finding the Fourth Proportional to 3,888, 5,832 and 1,290.94

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Solution

The fourth proportional to 3,888, 5,832 and 1,290.94 is: 1,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888 : 5,832 = 1,290.94 : x
  2. Step 2: Convert to fraction form
    3,888/5,832 = 1,290.94/x
  3. Step 3: Cross multiply
    3,888x = 5,832 × 1,290.94
  4. Step 4: Simplify right side
    3,888x = 7,528,747.50
  5. Step 5: Solve for x
    x = 7,528,747.50/3,888
  6. Step 6: Final answer
    x = 1,936.41

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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.