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Finding the Fourth Proportional to 5,932.26, 8,905.68 and 5,436.54

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Solution

The fourth proportional to 5,932.26, 8,905.68 and 5,436.54 is: 8,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.26 : 8,905.68 = 5,436.54 : x
  2. Step 2: Convert to fraction form
    5,932.26/8,905.68 = 5,436.54/x
  3. Step 3: Cross multiply
    5,932.26x = 8,905.68 × 5,436.54
  4. Step 4: Simplify right side
    5,932.26x = 48,416,085.55
  5. Step 5: Solve for x
    x = 48,416,085.55/5,932.26
  6. Step 6: Final answer
    x = 8,161.49

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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.