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Finding the Fourth Proportional to 5,321.46, 7,982.19 and 1,857.90

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Solution

The fourth proportional to 5,321.46, 7,982.19 and 1,857.90 is: 2,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.46 : 7,982.19 = 1,857.90 : x
  2. Step 2: Convert to fraction form
    5,321.46/7,982.19 = 1,857.90/x
  3. Step 3: Cross multiply
    5,321.46x = 7,982.19 × 1,857.90
  4. Step 4: Simplify right side
    5,321.46x = 14,830,110.80
  5. Step 5: Solve for x
    x = 14,830,110.80/5,321.46
  6. Step 6: Final answer
    x = 2,786.85

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Similar ratio
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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.