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Finding the Fourth Proportional to 3,954.38, 5,457.46 and 2,462.42

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Solution

The fourth proportional to 3,954.38, 5,457.46 and 2,462.42 is: 3,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.38 : 5,457.46 = 2,462.42 : x
  2. Step 2: Convert to fraction form
    3,954.38/5,457.46 = 2,462.42/x
  3. Step 3: Cross multiply
    3,954.38x = 5,457.46 × 2,462.42
  4. Step 4: Simplify right side
    3,954.38x = 13,438,558.65
  5. Step 5: Solve for x
    x = 13,438,558.65/3,954.38
  6. Step 6: Final answer
    x = 3,398.40

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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.