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Finding the Fourth Proportional to 4,668.28, 7,000.21 and 1,704.63

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Solution

The fourth proportional to 4,668.28, 7,000.21 and 1,704.63 is: 2,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.28 : 7,000.21 = 1,704.63 : x
  2. Step 2: Convert to fraction form
    4,668.28/7,000.21 = 1,704.63/x
  3. Step 3: Cross multiply
    4,668.28x = 7,000.21 × 1,704.63
  4. Step 4: Simplify right side
    4,668.28x = 11,932,767.97
  5. Step 5: Solve for x
    x = 11,932,767.97/4,668.28
  6. Step 6: Final answer
    x = 2,556.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.