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Finding the Fourth Proportional to 5,996.14, 8,994.86 and 2,301.50

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Solution

The fourth proportional to 5,996.14, 8,994.86 and 2,301.50 is: 3,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.14 : 8,994.86 = 2,301.50 : x
  2. Step 2: Convert to fraction form
    5,996.14/8,994.86 = 2,301.50/x
  3. Step 3: Cross multiply
    5,996.14x = 8,994.86 × 2,301.50
  4. Step 4: Simplify right side
    5,996.14x = 20,701,670.29
  5. Step 5: Solve for x
    x = 20,701,670.29/5,996.14
  6. Step 6: Final answer
    x = 3,452.50

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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.