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Finding the Fourth Proportional to 3,543.53, 5,315.49 and 1,352.43

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Solution

The fourth proportional to 3,543.53, 5,315.49 and 1,352.43 is: 2,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.53 : 5,315.49 = 1,352.43 : x
  2. Step 2: Convert to fraction form
    3,543.53/5,315.49 = 1,352.43/x
  3. Step 3: Cross multiply
    3,543.53x = 5,315.49 × 1,352.43
  4. Step 4: Simplify right side
    3,543.53x = 7,188,828.14
  5. Step 5: Solve for x
    x = 7,188,828.14/3,543.53
  6. Step 6: Final answer
    x = 2,028.72

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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.