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Finding the Fourth Proportional to 3,548.07, 5,322.78 and 1,082.97

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Solution

The fourth proportional to 3,548.07, 5,322.78 and 1,082.97 is: 1,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.07 : 5,322.78 = 1,082.97 : x
  2. Step 2: Convert to fraction form
    3,548.07/5,322.78 = 1,082.97/x
  3. Step 3: Cross multiply
    3,548.07x = 5,322.78 × 1,082.97
  4. Step 4: Simplify right side
    3,548.07x = 5,764,411.06
  5. Step 5: Solve for x
    x = 5,764,411.06/3,548.07
  6. Step 6: Final answer
    x = 1,624.66

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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.