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Finding the Fourth Proportional to 3,662.25, 5,493.38 and 1,065.21

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Solution

The fourth proportional to 3,662.25, 5,493.38 and 1,065.21 is: 1,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.25 : 5,493.38 = 1,065.21 : x
  2. Step 2: Convert to fraction form
    3,662.25/5,493.38 = 1,065.21/x
  3. Step 3: Cross multiply
    3,662.25x = 5,493.38 × 1,065.21
  4. Step 4: Simplify right side
    3,662.25x = 5,851,597.98
  5. Step 5: Solve for x
    x = 5,851,597.98/3,662.25
  6. Step 6: Final answer
    x = 1,597.82

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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.