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Finding the Fourth Proportional to 3,892.53, 5,841.23 and 1,584.03

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Solution

The fourth proportional to 3,892.53, 5,841.23 and 1,584.03 is: 2,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.53 : 5,841.23 = 1,584.03 : x
  2. Step 2: Convert to fraction form
    3,892.53/5,841.23 = 1,584.03/x
  3. Step 3: Cross multiply
    3,892.53x = 5,841.23 × 1,584.03
  4. Step 4: Simplify right side
    3,892.53x = 9,252,675.64
  5. Step 5: Solve for x
    x = 9,252,675.64/3,892.53
  6. Step 6: Final answer
    x = 2,377.03

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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.