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Finding the Fourth Proportional to 3,586, 5,379.12 and 1,120.80

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Solution

The fourth proportional to 3,586, 5,379.12 and 1,120.80 is: 1,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 5,379.12 = 1,120.80 : x
  2. Step 2: Convert to fraction form
    3,586/5,379.12 = 1,120.80/x
  3. Step 3: Cross multiply
    3,586x = 5,379.12 × 1,120.80
  4. Step 4: Simplify right side
    3,586x = 6,028,917.70
  5. Step 5: Solve for x
    x = 6,028,917.70/3,586
  6. Step 6: Final answer
    x = 1,681.24

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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.