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Finding the Fourth Proportional to 3,416.40, 4,786.20 and 3,416.40

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Solution

The fourth proportional to 3,416.40, 4,786.20 and 3,416.40 is: 4,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.40 : 4,786.20 = 3,416.40 : x
  2. Step 2: Convert to fraction form
    3,416.40/4,786.20 = 3,416.40/x
  3. Step 3: Cross multiply
    3,416.40x = 4,786.20 × 3,416.40
  4. Step 4: Simplify right side
    3,416.40x = 16,351,573.68
  5. Step 5: Solve for x
    x = 16,351,573.68/3,416.40
  6. Step 6: Final answer
    x = 4,786.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.