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Finding the Fourth Proportional to 3,608.70, 4,977.39 and 2,263.25

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Solution

The fourth proportional to 3,608.70, 4,977.39 and 2,263.25 is: 3,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.70 : 4,977.39 = 2,263.25 : x
  2. Step 2: Convert to fraction form
    3,608.70/4,977.39 = 2,263.25/x
  3. Step 3: Cross multiply
    3,608.70x = 4,977.39 × 2,263.25
  4. Step 4: Simplify right side
    3,608.70x = 11,265,053.03
  5. Step 5: Solve for x
    x = 11,265,053.03/3,608.70
  6. Step 6: Final answer
    x = 3,121.64

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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.