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Finding the Fourth Proportional to 5,786.81, 8,668.61 and 2,662.46

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Solution

The fourth proportional to 5,786.81, 8,668.61 and 2,662.46 is: 3,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.81 : 8,668.61 = 2,662.46 : x
  2. Step 2: Convert to fraction form
    5,786.81/8,668.61 = 2,662.46/x
  3. Step 3: Cross multiply
    5,786.81x = 8,668.61 × 2,662.46
  4. Step 4: Simplify right side
    5,786.81x = 23,079,835.74
  5. Step 5: Solve for x
    x = 23,079,835.74/5,786.81
  6. Step 6: Final answer
    x = 3,988.35

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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.