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Finding the Fourth Proportional to 5,927.56, 8,180 and 3,275

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Solution

The fourth proportional to 5,927.56, 8,180 and 3,275 is: 4,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.56 : 8,180 = 3,275 : x
  2. Step 2: Convert to fraction form
    5,927.56/8,180 = 3,275/x
  3. Step 3: Cross multiply
    5,927.56x = 8,180 × 3,275
  4. Step 4: Simplify right side
    5,927.56x = 26,789,500
  5. Step 5: Solve for x
    x = 26,789,500/5,927.56
  6. Step 6: Final answer
    x = 4,519.48

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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.