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Finding the Fourth Proportional to 8,982.94, 13,474.40 and 2,408.96

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Solution

The fourth proportional to 8,982.94, 13,474.40 and 2,408.96 is: 3,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.94 : 13,474.40 = 2,408.96 : x
  2. Step 2: Convert to fraction form
    8,982.94/13,474.40 = 2,408.96/x
  3. Step 3: Cross multiply
    8,982.94x = 13,474.40 × 2,408.96
  4. Step 4: Simplify right side
    8,982.94x = 32,459,290.62
  5. Step 5: Solve for x
    x = 32,459,290.62/8,982.94
  6. Step 6: Final answer
    x = 3,613.44

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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.