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Finding the Fourth Proportional to 3,676.80, 5,515.20 and 1,624.32

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Solution

The fourth proportional to 3,676.80, 5,515.20 and 1,624.32 is: 2,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.80 : 5,515.20 = 1,624.32 : x
  2. Step 2: Convert to fraction form
    3,676.80/5,515.20 = 1,624.32/x
  3. Step 3: Cross multiply
    3,676.80x = 5,515.20 × 1,624.32
  4. Step 4: Simplify right side
    3,676.80x = 8,958,449.66
  5. Step 5: Solve for x
    x = 8,958,449.66/3,676.80
  6. Step 6: Final answer
    x = 2,436.48

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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.