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Finding the Fourth Proportional to 3,273.71, 4,911.36 and 1,082.45

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Solution

The fourth proportional to 3,273.71, 4,911.36 and 1,082.45 is: 1,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.71 : 4,911.36 = 1,082.45 : x
  2. Step 2: Convert to fraction form
    3,273.71/4,911.36 = 1,082.45/x
  3. Step 3: Cross multiply
    3,273.71x = 4,911.36 × 1,082.45
  4. Step 4: Simplify right side
    3,273.71x = 5,316,277.08
  5. Step 5: Solve for x
    x = 5,316,277.08/3,273.71
  6. Step 6: Final answer
    x = 1,623.93

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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.