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Finding the Fourth Proportional to 4,827.53, 7,233.74 and 3,853.37

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Solution

The fourth proportional to 4,827.53, 7,233.74 and 3,853.37 is: 5,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.53 : 7,233.74 = 3,853.37 : x
  2. Step 2: Convert to fraction form
    4,827.53/7,233.74 = 3,853.37/x
  3. Step 3: Cross multiply
    4,827.53x = 7,233.74 × 3,853.37
  4. Step 4: Simplify right side
    4,827.53x = 27,874,257.44
  5. Step 5: Solve for x
    x = 27,874,257.44/4,827.53
  6. Step 6: Final answer
    x = 5,774.02

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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.