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Finding the Fourth Proportional to 4,668.56, 7,002.84 and 3,579.92

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Solution

The fourth proportional to 4,668.56, 7,002.84 and 3,579.92 is: 5,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.56 : 7,002.84 = 3,579.92 : x
  2. Step 2: Convert to fraction form
    4,668.56/7,002.84 = 3,579.92/x
  3. Step 3: Cross multiply
    4,668.56x = 7,002.84 × 3,579.92
  4. Step 4: Simplify right side
    4,668.56x = 25,069,606.97
  5. Step 5: Solve for x
    x = 25,069,606.97/4,668.56
  6. Step 6: Final answer
    x = 5,369.88

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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.