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Finding the Fourth Proportional to 4,872.84, 6,727.62 and 3,380.22

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Solution

The fourth proportional to 4,872.84, 6,727.62 and 3,380.22 is: 4,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.84 : 6,727.62 = 3,380.22 : x
  2. Step 2: Convert to fraction form
    4,872.84/6,727.62 = 3,380.22/x
  3. Step 3: Cross multiply
    4,872.84x = 6,727.62 × 3,380.22
  4. Step 4: Simplify right side
    4,872.84x = 22,740,835.68
  5. Step 5: Solve for x
    x = 22,740,835.68/4,872.84
  6. Step 6: Final answer
    x = 4,666.85

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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.