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Finding the Fourth Proportional to 4,000.11, 6,000.16 and 2,279.67

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Solution

The fourth proportional to 4,000.11, 6,000.16 and 2,279.67 is: 3,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.11 : 6,000.16 = 2,279.67 : x
  2. Step 2: Convert to fraction form
    4,000.11/6,000.16 = 2,279.67/x
  3. Step 3: Cross multiply
    4,000.11x = 6,000.16 × 2,279.67
  4. Step 4: Simplify right side
    4,000.11x = 13,678,384.75
  5. Step 5: Solve for x
    x = 13,678,384.75/4,000.11
  6. Step 6: Final answer
    x = 3,419.50

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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.