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Finding the Fourth Proportional to 3,567.62, 4,924.68 and 3,193.94

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Solution

The fourth proportional to 3,567.62, 4,924.68 and 3,193.94 is: 4,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.62 : 4,924.68 = 3,193.94 : x
  2. Step 2: Convert to fraction form
    3,567.62/4,924.68 = 3,193.94/x
  3. Step 3: Cross multiply
    3,567.62x = 4,924.68 × 3,193.94
  4. Step 4: Simplify right side
    3,567.62x = 15,729,132.44
  5. Step 5: Solve for x
    x = 15,729,132.44/3,567.62
  6. Step 6: Final answer
    x = 4,408.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.