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Finding the Fourth Proportional to 3,690.56, 5,531.74 and 1,843.23

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Solution

The fourth proportional to 3,690.56, 5,531.74 and 1,843.23 is: 2,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.56 : 5,531.74 = 1,843.23 : x
  2. Step 2: Convert to fraction form
    3,690.56/5,531.74 = 1,843.23/x
  3. Step 3: Cross multiply
    3,690.56x = 5,531.74 × 1,843.23
  4. Step 4: Simplify right side
    3,690.56x = 10,196,280.07
  5. Step 5: Solve for x
    x = 10,196,280.07/3,690.56
  6. Step 6: Final answer
    x = 2,762.80

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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.