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Finding the Fourth Proportional to 5,605.92, 8,408.64 and 1,446

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Solution

The fourth proportional to 5,605.92, 8,408.64 and 1,446 is: 2,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.92 : 8,408.64 = 1,446 : x
  2. Step 2: Convert to fraction form
    5,605.92/8,408.64 = 1,446/x
  3. Step 3: Cross multiply
    5,605.92x = 8,408.64 × 1,446
  4. Step 4: Simplify right side
    5,605.92x = 12,158,893.44
  5. Step 5: Solve for x
    x = 12,158,893.44/5,605.92
  6. Step 6: Final answer
    x = 2,168.94

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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.