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Finding the Fourth Proportional to 3,729.58, 5,596.89 and 1,538.26

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Solution

The fourth proportional to 3,729.58, 5,596.89 and 1,538.26 is: 2,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.58 : 5,596.89 = 1,538.26 : x
  2. Step 2: Convert to fraction form
    3,729.58/5,596.89 = 1,538.26/x
  3. Step 3: Cross multiply
    3,729.58x = 5,596.89 × 1,538.26
  4. Step 4: Simplify right side
    3,729.58x = 8,609,464.32
  5. Step 5: Solve for x
    x = 8,609,464.32/3,729.58
  6. Step 6: Final answer
    x = 2,308.43

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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.