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Finding the Fourth Proportional to 3,654.54, 5,043.42 and 2,258.10

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Solution

The fourth proportional to 3,654.54, 5,043.42 and 2,258.10 is: 3,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.54 : 5,043.42 = 2,258.10 : x
  2. Step 2: Convert to fraction form
    3,654.54/5,043.42 = 2,258.10/x
  3. Step 3: Cross multiply
    3,654.54x = 5,043.42 × 2,258.10
  4. Step 4: Simplify right side
    3,654.54x = 11,388,546.70
  5. Step 5: Solve for x
    x = 11,388,546.70/3,654.54
  6. Step 6: Final answer
    x = 3,116.27

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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.