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Finding the Fourth Proportional to 5,763.36, 7,951.38 and 3,668.64

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Solution

The fourth proportional to 5,763.36, 7,951.38 and 3,668.64 is: 5,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.36 : 7,951.38 = 3,668.64 : x
  2. Step 2: Convert to fraction form
    5,763.36/7,951.38 = 3,668.64/x
  3. Step 3: Cross multiply
    5,763.36x = 7,951.38 × 3,668.64
  4. Step 4: Simplify right side
    5,763.36x = 29,170,750.72
  5. Step 5: Solve for x
    x = 29,170,750.72/5,763.36
  6. Step 6: Final answer
    x = 5,061.41

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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.