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Finding the Fourth Proportional to 5,462.08, 8,193.86 and 1,763.42

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Solution

The fourth proportional to 5,462.08, 8,193.86 and 1,763.42 is: 2,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.08 : 8,193.86 = 1,763.42 : x
  2. Step 2: Convert to fraction form
    5,462.08/8,193.86 = 1,763.42/x
  3. Step 3: Cross multiply
    5,462.08x = 8,193.86 × 1,763.42
  4. Step 4: Simplify right side
    5,462.08x = 14,449,219.52
  5. Step 5: Solve for x
    x = 14,449,219.52/5,462.08
  6. Step 6: Final answer
    x = 2,645.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.