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Finding the Fourth Proportional to 4,828.03, 7,234.48 and 3,853.87

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Solution

The fourth proportional to 4,828.03, 7,234.48 and 3,853.87 is: 5,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.03 : 7,234.48 = 3,853.87 : x
  2. Step 2: Convert to fraction form
    4,828.03/7,234.48 = 3,853.87/x
  3. Step 3: Cross multiply
    4,828.03x = 7,234.48 × 3,853.87
  4. Step 4: Simplify right side
    4,828.03x = 27,880,745.44
  5. Step 5: Solve for x
    x = 27,880,745.44/4,828.03
  6. Step 6: Final answer
    x = 5,774.77

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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.