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Finding the Fourth Proportional to 4,744, 7,116 and 1,663.84

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Solution

The fourth proportional to 4,744, 7,116 and 1,663.84 is: 2,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744 : 7,116 = 1,663.84 : x
  2. Step 2: Convert to fraction form
    4,744/7,116 = 1,663.84/x
  3. Step 3: Cross multiply
    4,744x = 7,116 × 1,663.84
  4. Step 4: Simplify right side
    4,744x = 11,839,885.44
  5. Step 5: Solve for x
    x = 11,839,885.44/4,744
  6. Step 6: Final answer
    x = 2,495.76

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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.