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Finding the Fourth Proportional to 5,668.50, 8,488.81 and 3,908.57

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Solution

The fourth proportional to 5,668.50, 8,488.81 and 3,908.57 is: 5,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.50 : 8,488.81 = 3,908.57 : x
  2. Step 2: Convert to fraction form
    5,668.50/8,488.81 = 3,908.57/x
  3. Step 3: Cross multiply
    5,668.50x = 8,488.81 × 3,908.57
  4. Step 4: Simplify right side
    5,668.50x = 33,179,119.55
  5. Step 5: Solve for x
    x = 33,179,119.55/5,668.50
  6. Step 6: Final answer
    x = 5,853.25

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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.