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Finding the Fourth Proportional to 5,846.21, 8,769.33 and 1,463.66

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Solution

The fourth proportional to 5,846.21, 8,769.33 and 1,463.66 is: 2,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.21 : 8,769.33 = 1,463.66 : x
  2. Step 2: Convert to fraction form
    5,846.21/8,769.33 = 1,463.66/x
  3. Step 3: Cross multiply
    5,846.21x = 8,769.33 × 1,463.66
  4. Step 4: Simplify right side
    5,846.21x = 12,835,273.70
  5. Step 5: Solve for x
    x = 12,835,273.70/5,846.21
  6. Step 6: Final answer
    x = 2,195.49

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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.