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Finding the Fourth Proportional to 3,783.66, 5,671.35 and 3,234.17

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Solution

The fourth proportional to 3,783.66, 5,671.35 and 3,234.17 is: 4,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.66 : 5,671.35 = 3,234.17 : x
  2. Step 2: Convert to fraction form
    3,783.66/5,671.35 = 3,234.17/x
  3. Step 3: Cross multiply
    3,783.66x = 5,671.35 × 3,234.17
  4. Step 4: Simplify right side
    3,783.66x = 18,342,081.67
  5. Step 5: Solve for x
    x = 18,342,081.67/3,783.66
  6. Step 6: Final answer
    x = 4,847.71

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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.