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Finding the Fourth Proportional to 4,182, 5,771.58 and 2,609.79

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Solution

The fourth proportional to 4,182, 5,771.58 and 2,609.79 is: 3,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182 : 5,771.58 = 2,609.79 : x
  2. Step 2: Convert to fraction form
    4,182/5,771.58 = 2,609.79/x
  3. Step 3: Cross multiply
    4,182x = 5,771.58 × 2,609.79
  4. Step 4: Simplify right side
    4,182x = 15,062,611.77
  5. Step 5: Solve for x
    x = 15,062,611.77/4,182
  6. Step 6: Final answer
    x = 3,601.77

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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.