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Finding the Fourth Proportional to 3,226.53, 4,839.62 and 886.49

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Solution

The fourth proportional to 3,226.53, 4,839.62 and 886.49 is: 1,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.53 : 4,839.62 = 886.49 : x
  2. Step 2: Convert to fraction form
    3,226.53/4,839.62 = 886.49/x
  3. Step 3: Cross multiply
    3,226.53x = 4,839.62 × 886.49
  4. Step 4: Simplify right side
    3,226.53x = 4,290,250.64
  5. Step 5: Solve for x
    x = 4,290,250.64/3,226.53
  6. Step 6: Final answer
    x = 1,329.68

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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.