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Finding the Fourth Proportional to 5,634.93, 8,449.95 and 2,169.75

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Solution

The fourth proportional to 5,634.93, 8,449.95 and 2,169.75 is: 3,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.93 : 8,449.95 = 2,169.75 : x
  2. Step 2: Convert to fraction form
    5,634.93/8,449.95 = 2,169.75/x
  3. Step 3: Cross multiply
    5,634.93x = 8,449.95 × 2,169.75
  4. Step 4: Simplify right side
    5,634.93x = 18,334,279.01
  5. Step 5: Solve for x
    x = 18,334,279.01/5,634.93
  6. Step 6: Final answer
    x = 3,253.68

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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.