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Finding the Fourth Proportional to 3,668.96, 5,063.97 and 2,323.70

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Solution

The fourth proportional to 3,668.96, 5,063.97 and 2,323.70 is: 3,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.96 : 5,063.97 = 2,323.70 : x
  2. Step 2: Convert to fraction form
    3,668.96/5,063.97 = 2,323.70/x
  3. Step 3: Cross multiply
    3,668.96x = 5,063.97 × 2,323.70
  4. Step 4: Simplify right side
    3,668.96x = 11,767,164.89
  5. Step 5: Solve for x
    x = 11,767,164.89/3,668.96
  6. Step 6: Final answer
    x = 3,207.22

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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.