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Finding the Fourth Proportional to 5,668.83, 7,824.53 and 3,679.27

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Solution

The fourth proportional to 5,668.83, 7,824.53 and 3,679.27 is: 5,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.83 : 7,824.53 = 3,679.27 : x
  2. Step 2: Convert to fraction form
    5,668.83/7,824.53 = 3,679.27/x
  3. Step 3: Cross multiply
    5,668.83x = 7,824.53 × 3,679.27
  4. Step 4: Simplify right side
    5,668.83x = 28,788,500.97
  5. Step 5: Solve for x
    x = 28,788,500.97/5,668.83
  6. Step 6: Final answer
    x = 5,078.38

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1.5x scale

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.