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Finding the Fourth Proportional to 5,786.91, 8,680.26 and 1,404.41

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Solution

The fourth proportional to 5,786.91, 8,680.26 and 1,404.41 is: 2,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.91 : 8,680.26 = 1,404.41 : x
  2. Step 2: Convert to fraction form
    5,786.91/8,680.26 = 1,404.41/x
  3. Step 3: Cross multiply
    5,786.91x = 8,680.26 × 1,404.41
  4. Step 4: Simplify right side
    5,786.91x = 12,190,605.81
  5. Step 5: Solve for x
    x = 12,190,605.81/5,786.91
  6. Step 6: Final answer
    x = 2,106.58

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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.