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Finding the Fourth Proportional to 3,654.96, 5,046.16 and 2,258.52

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Solution

The fourth proportional to 3,654.96, 5,046.16 and 2,258.52 is: 3,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.96 : 5,046.16 = 2,258.52 : x
  2. Step 2: Convert to fraction form
    3,654.96/5,046.16 = 2,258.52/x
  3. Step 3: Cross multiply
    3,654.96x = 5,046.16 × 2,258.52
  4. Step 4: Simplify right side
    3,654.96x = 11,396,853.28
  5. Step 5: Solve for x
    x = 11,396,853.28/3,654.96
  6. Step 6: Final answer
    x = 3,118.19

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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.