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Finding the Fourth Proportional to 5,786.98, 8,680.47 and 1,404.43

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Solution

The fourth proportional to 5,786.98, 8,680.47 and 1,404.43 is: 2,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.98 : 8,680.47 = 1,404.43 : x
  2. Step 2: Convert to fraction form
    5,786.98/8,680.47 = 1,404.43/x
  3. Step 3: Cross multiply
    5,786.98x = 8,680.47 × 1,404.43
  4. Step 4: Simplify right side
    5,786.98x = 12,191,112.48
  5. Step 5: Solve for x
    x = 12,191,112.48/5,786.98
  6. Step 6: Final answer
    x = 2,106.65

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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.