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Finding the Fourth Proportional to 3,546.72, 5,321.73 and 1,597.86

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Solution

The fourth proportional to 3,546.72, 5,321.73 and 1,597.86 is: 2,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.72 : 5,321.73 = 1,597.86 : x
  2. Step 2: Convert to fraction form
    3,546.72/5,321.73 = 1,597.86/x
  3. Step 3: Cross multiply
    3,546.72x = 5,321.73 × 1,597.86
  4. Step 4: Simplify right side
    3,546.72x = 8,503,379.50
  5. Step 5: Solve for x
    x = 8,503,379.50/3,546.72
  6. Step 6: Final answer
    x = 2,397.53

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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.