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Finding the Fourth Proportional to 3,274.43, 4,912.73 and 1,053.60

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Solution

The fourth proportional to 3,274.43, 4,912.73 and 1,053.60 is: 1,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.43 : 4,912.73 = 1,053.60 : x
  2. Step 2: Convert to fraction form
    3,274.43/4,912.73 = 1,053.60/x
  3. Step 3: Cross multiply
    3,274.43x = 4,912.73 × 1,053.60
  4. Step 4: Simplify right side
    3,274.43x = 5,176,047.06
  5. Step 5: Solve for x
    x = 5,176,047.06/3,274.43
  6. Step 6: Final answer
    x = 1,580.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.