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Finding the Fourth Proportional to 5,270.82, 7,274.57 and 3,146.46

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Solution

The fourth proportional to 5,270.82, 7,274.57 and 3,146.46 is: 4,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.82 : 7,274.57 = 3,146.46 : x
  2. Step 2: Convert to fraction form
    5,270.82/7,274.57 = 3,146.46/x
  3. Step 3: Cross multiply
    5,270.82x = 7,274.57 × 3,146.46
  4. Step 4: Simplify right side
    5,270.82x = 22,889,143.52
  5. Step 5: Solve for x
    x = 22,889,143.52/5,270.82
  6. Step 6: Final answer
    x = 4,342.62

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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.