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Finding the Fourth Proportional to 3,984.84, 5,970.42 and 2,229.47

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Solution

The fourth proportional to 3,984.84, 5,970.42 and 2,229.47 is: 3,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.84 : 5,970.42 = 2,229.47 : x
  2. Step 2: Convert to fraction form
    3,984.84/5,970.42 = 2,229.47/x
  3. Step 3: Cross multiply
    3,984.84x = 5,970.42 × 2,229.47
  4. Step 4: Simplify right side
    3,984.84x = 13,310,842.43
  5. Step 5: Solve for x
    x = 13,310,842.43/3,984.84
  6. Step 6: Final answer
    x = 3,340.37

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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.