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Finding the Fourth Proportional to 3,249, 4,846.05 and 2,958.12

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Solution

The fourth proportional to 3,249, 4,846.05 and 2,958.12 is: 4,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249 : 4,846.05 = 2,958.12 : x
  2. Step 2: Convert to fraction form
    3,249/4,846.05 = 2,958.12/x
  3. Step 3: Cross multiply
    3,249x = 4,846.05 × 2,958.12
  4. Step 4: Simplify right side
    3,249x = 14,335,197.43
  5. Step 5: Solve for x
    x = 14,335,197.43/3,249
  6. Step 6: Final answer
    x = 4,412.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.