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Finding the Fourth Proportional to 5,296.97, 7,944.55 and 1,401.77

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Solution

The fourth proportional to 5,296.97, 7,944.55 and 1,401.77 is: 2,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.97 : 7,944.55 = 1,401.77 : x
  2. Step 2: Convert to fraction form
    5,296.97/7,944.55 = 1,401.77/x
  3. Step 3: Cross multiply
    5,296.97x = 7,944.55 × 1,401.77
  4. Step 4: Simplify right side
    5,296.97x = 11,136,431.85
  5. Step 5: Solve for x
    x = 11,136,431.85/5,296.97
  6. Step 6: Final answer
    x = 2,102.42

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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.