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Finding the Fourth Proportional to 5,422.21, 7,485.31 and 4,208.19

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Solution

The fourth proportional to 5,422.21, 7,485.31 and 4,208.19 is: 5,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.21 : 7,485.31 = 4,208.19 : x
  2. Step 2: Convert to fraction form
    5,422.21/7,485.31 = 4,208.19/x
  3. Step 3: Cross multiply
    5,422.21x = 7,485.31 × 4,208.19
  4. Step 4: Simplify right side
    5,422.21x = 31,499,583.88
  5. Step 5: Solve for x
    x = 31,499,583.88/5,422.21
  6. Step 6: Final answer
    x = 5,809.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.