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Finding the Fourth Proportional to 3,530.98, 5,290.39 and 2,489.12

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Solution

The fourth proportional to 3,530.98, 5,290.39 and 2,489.12 is: 3,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.98 : 5,290.39 = 2,489.12 : x
  2. Step 2: Convert to fraction form
    3,530.98/5,290.39 = 2,489.12/x
  3. Step 3: Cross multiply
    3,530.98x = 5,290.39 × 2,489.12
  4. Step 4: Simplify right side
    3,530.98x = 13,168,415.56
  5. Step 5: Solve for x
    x = 13,168,415.56/3,530.98
  6. Step 6: Final answer
    x = 3,729.39

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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.