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Finding the Fourth Proportional to 3,468.48, 4,786.38 and 2,052.42

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Solution

The fourth proportional to 3,468.48, 4,786.38 and 2,052.42 is: 2,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.48 : 4,786.38 = 2,052.42 : x
  2. Step 2: Convert to fraction form
    3,468.48/4,786.38 = 2,052.42/x
  3. Step 3: Cross multiply
    3,468.48x = 4,786.38 × 2,052.42
  4. Step 4: Simplify right side
    3,468.48x = 9,823,662.04
  5. Step 5: Solve for x
    x = 9,823,662.04/3,468.48
  6. Step 6: Final answer
    x = 2,832.27

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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.