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Finding the Fourth Proportional to 5,408.98, 8,113.37 and 1,711.43

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Solution

The fourth proportional to 5,408.98, 8,113.37 and 1,711.43 is: 2,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.98 : 8,113.37 = 1,711.43 : x
  2. Step 2: Convert to fraction form
    5,408.98/8,113.37 = 1,711.43/x
  3. Step 3: Cross multiply
    5,408.98x = 8,113.37 × 1,711.43
  4. Step 4: Simplify right side
    5,408.98x = 13,885,446.12
  5. Step 5: Solve for x
    x = 13,885,446.12/5,408.98
  6. Step 6: Final answer
    x = 2,567.11

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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.