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Finding the Fourth Proportional to 5,777.94, 8,668.22 and 1,829.44

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Solution

The fourth proportional to 5,777.94, 8,668.22 and 1,829.44 is: 2,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.94 : 8,668.22 = 1,829.44 : x
  2. Step 2: Convert to fraction form
    5,777.94/8,668.22 = 1,829.44/x
  3. Step 3: Cross multiply
    5,777.94x = 8,668.22 × 1,829.44
  4. Step 4: Simplify right side
    5,777.94x = 15,857,988.40
  5. Step 5: Solve for x
    x = 15,857,988.40/5,777.94
  6. Step 6: Final answer
    x = 2,744.57

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1.5x scale

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.