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Finding the Fourth Proportional to 3,671.94, 5,074.20 and 2,786.16

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Solution

The fourth proportional to 3,671.94, 5,074.20 and 2,786.16 is: 3,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.94 : 5,074.20 = 2,786.16 : x
  2. Step 2: Convert to fraction form
    3,671.94/5,074.20 = 2,786.16/x
  3. Step 3: Cross multiply
    3,671.94x = 5,074.20 × 2,786.16
  4. Step 4: Simplify right side
    3,671.94x = 14,137,533.07
  5. Step 5: Solve for x
    x = 14,137,533.07/3,671.94
  6. Step 6: Final answer
    x = 3,850.15

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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.