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Finding the Fourth Proportional to 4,733.50, 6,540.42 and 3,893.50

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Solution

The fourth proportional to 4,733.50, 6,540.42 and 3,893.50 is: 5,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.50 : 6,540.42 = 3,893.50 : x
  2. Step 2: Convert to fraction form
    4,733.50/6,540.42 = 3,893.50/x
  3. Step 3: Cross multiply
    4,733.50x = 6,540.42 × 3,893.50
  4. Step 4: Simplify right side
    4,733.50x = 25,465,125.27
  5. Step 5: Solve for x
    x = 25,465,125.27/4,733.50
  6. Step 6: Final answer
    x = 5,379.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.