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Finding the Fourth Proportional to 3,467.84, 4,786.16 and 2,209.45

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Solution

The fourth proportional to 3,467.84, 4,786.16 and 2,209.45 is: 3,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.84 : 4,786.16 = 2,209.45 : x
  2. Step 2: Convert to fraction form
    3,467.84/4,786.16 = 2,209.45/x
  3. Step 3: Cross multiply
    3,467.84x = 4,786.16 × 2,209.45
  4. Step 4: Simplify right side
    3,467.84x = 10,574,758.20
  5. Step 5: Solve for x
    x = 10,574,758.20/3,467.84
  6. Step 6: Final answer
    x = 3,049.38

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1.5x scale

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.