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Finding the Fourth Proportional to 3,755.49, 5,627.16 and 2,290.20

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Solution

The fourth proportional to 3,755.49, 5,627.16 and 2,290.20 is: 3,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.49 : 5,627.16 = 2,290.20 : x
  2. Step 2: Convert to fraction form
    3,755.49/5,627.16 = 2,290.20/x
  3. Step 3: Cross multiply
    3,755.49x = 5,627.16 × 2,290.20
  4. Step 4: Simplify right side
    3,755.49x = 12,887,321.83
  5. Step 5: Solve for x
    x = 12,887,321.83/3,755.49
  6. Step 6: Final answer
    x = 3,431.60

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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.