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Finding the Fourth Proportional to 5,996.64, 8,995.60 and 2,302

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Solution

The fourth proportional to 5,996.64, 8,995.60 and 2,302 is: 3,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.64 : 8,995.60 = 2,302 : x
  2. Step 2: Convert to fraction form
    5,996.64/8,995.60 = 2,302/x
  3. Step 3: Cross multiply
    5,996.64x = 8,995.60 × 2,302
  4. Step 4: Simplify right side
    5,996.64x = 20,707,871.20
  5. Step 5: Solve for x
    x = 20,707,871.20/5,996.64
  6. Step 6: Final answer
    x = 3,453.25

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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.