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Finding the Fourth Proportional to 3,771.59, 5,202.99 and 2,258.42

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Solution

The fourth proportional to 3,771.59, 5,202.99 and 2,258.42 is: 3,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.59 : 5,202.99 = 2,258.42 : x
  2. Step 2: Convert to fraction form
    3,771.59/5,202.99 = 2,258.42/x
  3. Step 3: Cross multiply
    3,771.59x = 5,202.99 × 2,258.42
  4. Step 4: Simplify right side
    3,771.59x = 11,750,510.66
  5. Step 5: Solve for x
    x = 11,750,510.66/3,771.59
  6. Step 6: Final answer
    x = 3,115.54

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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.