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Finding the Fourth Proportional to 6,233, 8,601.70 and 3,400.42

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Solution

The fourth proportional to 6,233, 8,601.70 and 3,400.42 is: 4,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233 : 8,601.70 = 3,400.42 : x
  2. Step 2: Convert to fraction form
    6,233/8,601.70 = 3,400.42/x
  3. Step 3: Cross multiply
    6,233x = 8,601.70 × 3,400.42
  4. Step 4: Simplify right side
    6,233x = 29,249,401.22
  5. Step 5: Solve for x
    x = 29,249,401.22/6,233
  6. Step 6: Final answer
    x = 4,692.67

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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.