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Finding the Fourth Proportional to 3,548.04, 5,322.87 and 1,083.21

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Solution

The fourth proportional to 3,548.04, 5,322.87 and 1,083.21 is: 1,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.04 : 5,322.87 = 1,083.21 : x
  2. Step 2: Convert to fraction form
    3,548.04/5,322.87 = 1,083.21/x
  3. Step 3: Cross multiply
    3,548.04x = 5,322.87 × 1,083.21
  4. Step 4: Simplify right side
    3,548.04x = 5,765,786.01
  5. Step 5: Solve for x
    x = 5,765,786.01/3,548.04
  6. Step 6: Final answer
    x = 1,625.06

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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.