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Finding the Fourth Proportional to 5,996, 8,994.64 and 1,613.44

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Solution

The fourth proportional to 5,996, 8,994.64 and 1,613.44 is: 2,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 8,994.64 = 1,613.44 : x
  2. Step 2: Convert to fraction form
    5,996/8,994.64 = 1,613.44/x
  3. Step 3: Cross multiply
    5,996x = 8,994.64 × 1,613.44
  4. Step 4: Simplify right side
    5,996x = 14,512,311.96
  5. Step 5: Solve for x
    x = 14,512,311.96/5,996
  6. Step 6: Final answer
    x = 2,420.33

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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.