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Finding the Fourth Proportional to 4,498.70, 6,738.24 and 3,709.84

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Solution

The fourth proportional to 4,498.70, 6,738.24 and 3,709.84 is: 5,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.70 : 6,738.24 = 3,709.84 : x
  2. Step 2: Convert to fraction form
    4,498.70/6,738.24 = 3,709.84/x
  3. Step 3: Cross multiply
    4,498.70x = 6,738.24 × 3,709.84
  4. Step 4: Simplify right side
    4,498.70x = 24,997,792.28
  5. Step 5: Solve for x
    x = 24,997,792.28/4,498.70
  6. Step 6: Final answer
    x = 5,556.67

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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.