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Finding the Fourth Proportional to 5,857.88, 8,786.70 and 1,475.22

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Solution

The fourth proportional to 5,857.88, 8,786.70 and 1,475.22 is: 2,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.88 : 8,786.70 = 1,475.22 : x
  2. Step 2: Convert to fraction form
    5,857.88/8,786.70 = 1,475.22/x
  3. Step 3: Cross multiply
    5,857.88x = 8,786.70 × 1,475.22
  4. Step 4: Simplify right side
    5,857.88x = 12,962,315.57
  5. Step 5: Solve for x
    x = 12,962,315.57/5,857.88
  6. Step 6: Final answer
    x = 2,212.80

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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.