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Finding the Fourth Proportional to 5,352.62, 8,023.29 and 1,841.54

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Solution

The fourth proportional to 5,352.62, 8,023.29 and 1,841.54 is: 2,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.62 : 8,023.29 = 1,841.54 : x
  2. Step 2: Convert to fraction form
    5,352.62/8,023.29 = 1,841.54/x
  3. Step 3: Cross multiply
    5,352.62x = 8,023.29 × 1,841.54
  4. Step 4: Simplify right side
    5,352.62x = 14,775,209.47
  5. Step 5: Solve for x
    x = 14,775,209.47/5,352.62
  6. Step 6: Final answer
    x = 2,760.37

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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.