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Finding the Fourth Proportional to 3,493.98, 4,821.84 and 2,167.56

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Solution

The fourth proportional to 3,493.98, 4,821.84 and 2,167.56 is: 2,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.98 : 4,821.84 = 2,167.56 : x
  2. Step 2: Convert to fraction form
    3,493.98/4,821.84 = 2,167.56/x
  3. Step 3: Cross multiply
    3,493.98x = 4,821.84 × 2,167.56
  4. Step 4: Simplify right side
    3,493.98x = 10,451,627.51
  5. Step 5: Solve for x
    x = 10,451,627.51/3,493.98
  6. Step 6: Final answer
    x = 2,991.32

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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.