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Finding the Fourth Proportional to 3,770.53, 5,202.38 and 2,258.57

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Solution

The fourth proportional to 3,770.53, 5,202.38 and 2,258.57 is: 3,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.53 : 5,202.38 = 2,258.57 : x
  2. Step 2: Convert to fraction form
    3,770.53/5,202.38 = 2,258.57/x
  3. Step 3: Cross multiply
    3,770.53x = 5,202.38 × 2,258.57
  4. Step 4: Simplify right side
    3,770.53x = 11,749,958.05
  5. Step 5: Solve for x
    x = 11,749,958.05/3,770.53
  6. Step 6: Final answer
    x = 3,116.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.