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Finding the Fourth Proportional to 3,548.31, 5,321.94 and 1,208.22

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Solution

The fourth proportional to 3,548.31, 5,321.94 and 1,208.22 is: 1,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.31 : 5,321.94 = 1,208.22 : x
  2. Step 2: Convert to fraction form
    3,548.31/5,321.94 = 1,208.22/x
  3. Step 3: Cross multiply
    3,548.31x = 5,321.94 × 1,208.22
  4. Step 4: Simplify right side
    3,548.31x = 6,430,074.35
  5. Step 5: Solve for x
    x = 6,430,074.35/3,548.31
  6. Step 6: Final answer
    x = 1,812.15

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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.