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Finding the Fourth Proportional to 3,531.98, 5,297.54 and 2,052.02

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Solution

The fourth proportional to 3,531.98, 5,297.54 and 2,052.02 is: 3,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.98 : 5,297.54 = 2,052.02 : x
  2. Step 2: Convert to fraction form
    3,531.98/5,297.54 = 2,052.02/x
  3. Step 3: Cross multiply
    3,531.98x = 5,297.54 × 2,052.02
  4. Step 4: Simplify right side
    3,531.98x = 10,870,658.03
  5. Step 5: Solve for x
    x = 10,870,658.03/3,531.98
  6. Step 6: Final answer
    x = 3,077.78

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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.