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Finding the Fourth Proportional to 4,836.74, 7,257.74 and 3,743.24

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Solution

The fourth proportional to 4,836.74, 7,257.74 and 3,743.24 is: 5,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.74 : 7,257.74 = 3,743.24 : x
  2. Step 2: Convert to fraction form
    4,836.74/7,257.74 = 3,743.24/x
  3. Step 3: Cross multiply
    4,836.74x = 7,257.74 × 3,743.24
  4. Step 4: Simplify right side
    4,836.74x = 27,167,407.67
  5. Step 5: Solve for x
    x = 27,167,407.67/4,836.74
  6. Step 6: Final answer
    x = 5,616.89

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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.