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Finding the Fourth Proportional to 3,846.62, 5,308.43 and 2,354.51

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Solution

The fourth proportional to 3,846.62, 5,308.43 and 2,354.51 is: 3,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.62 : 5,308.43 = 2,354.51 : x
  2. Step 2: Convert to fraction form
    3,846.62/5,308.43 = 2,354.51/x
  3. Step 3: Cross multiply
    3,846.62x = 5,308.43 × 2,354.51
  4. Step 4: Simplify right side
    3,846.62x = 12,498,713.20
  5. Step 5: Solve for x
    x = 12,498,713.20/3,846.62
  6. Step 6: Final answer
    x = 3,249.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.