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Finding the Fourth Proportional to 3,806.19, 5,709.30 and 1,616.44

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Solution

The fourth proportional to 3,806.19, 5,709.30 and 1,616.44 is: 2,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.19 : 5,709.30 = 1,616.44 : x
  2. Step 2: Convert to fraction form
    3,806.19/5,709.30 = 1,616.44/x
  3. Step 3: Cross multiply
    3,806.19x = 5,709.30 × 1,616.44
  4. Step 4: Simplify right side
    3,806.19x = 9,228,740.89
  5. Step 5: Solve for x
    x = 9,228,740.89/3,806.19
  6. Step 6: Final answer
    x = 2,424.67

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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.