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Finding the Fourth Proportional to 5,995.74, 8,274.10 and 3,343.08

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Solution

The fourth proportional to 5,995.74, 8,274.10 and 3,343.08 is: 4,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.74 : 8,274.10 = 3,343.08 : x
  2. Step 2: Convert to fraction form
    5,995.74/8,274.10 = 3,343.08/x
  3. Step 3: Cross multiply
    5,995.74x = 8,274.10 × 3,343.08
  4. Step 4: Simplify right side
    5,995.74x = 27,660,978.23
  5. Step 5: Solve for x
    x = 27,660,978.23/5,995.74
  6. Step 6: Final answer
    x = 4,613.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.