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Finding the Fourth Proportional to 3,672.44, 5,510.43 and 1,823.21

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Solution

The fourth proportional to 3,672.44, 5,510.43 and 1,823.21 is: 2,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.44 : 5,510.43 = 1,823.21 : x
  2. Step 2: Convert to fraction form
    3,672.44/5,510.43 = 1,823.21/x
  3. Step 3: Cross multiply
    3,672.44x = 5,510.43 × 1,823.21
  4. Step 4: Simplify right side
    3,672.44x = 10,046,671.08
  5. Step 5: Solve for x
    x = 10,046,671.08/3,672.44
  6. Step 6: Final answer
    x = 2,735.69

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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.