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Finding the Fourth Proportional to 3,408.62, 5,106.78 and 2,748.42

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Solution

The fourth proportional to 3,408.62, 5,106.78 and 2,748.42 is: 4,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.62 : 5,106.78 = 2,748.42 : x
  2. Step 2: Convert to fraction form
    3,408.62/5,106.78 = 2,748.42/x
  3. Step 3: Cross multiply
    3,408.62x = 5,106.78 × 2,748.42
  4. Step 4: Simplify right side
    3,408.62x = 14,035,576.29
  5. Step 5: Solve for x
    x = 14,035,576.29/3,408.62
  6. Step 6: Final answer
    x = 4,117.67

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1.5x scale

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.