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Finding the Fourth Proportional to 3,596.62, 5,396.22 and 1,256.96

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Solution

The fourth proportional to 3,596.62, 5,396.22 and 1,256.96 is: 1,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.62 : 5,396.22 = 1,256.96 : x
  2. Step 2: Convert to fraction form
    3,596.62/5,396.22 = 1,256.96/x
  3. Step 3: Cross multiply
    3,596.62x = 5,396.22 × 1,256.96
  4. Step 4: Simplify right side
    3,596.62x = 6,782,832.69
  5. Step 5: Solve for x
    x = 6,782,832.69/3,596.62
  6. Step 6: Final answer
    x = 1,885.89

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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.