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Finding the Fourth Proportional to 3,578.80, 5,367.84 and 982.12

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Solution

The fourth proportional to 3,578.80, 5,367.84 and 982.12 is: 1,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.80 : 5,367.84 = 982.12 : x
  2. Step 2: Convert to fraction form
    3,578.80/5,367.84 = 982.12/x
  3. Step 3: Cross multiply
    3,578.80x = 5,367.84 × 982.12
  4. Step 4: Simplify right side
    3,578.80x = 5,271,863.02
  5. Step 5: Solve for x
    x = 5,271,863.02/3,578.80
  6. Step 6: Final answer
    x = 1,473.08

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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.