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Finding the Fourth Proportional to 3,656.32, 5,046.67 and 2,258.26

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Solution

The fourth proportional to 3,656.32, 5,046.67 and 2,258.26 is: 3,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.32 : 5,046.67 = 2,258.26 : x
  2. Step 2: Convert to fraction form
    3,656.32/5,046.67 = 2,258.26/x
  3. Step 3: Cross multiply
    3,656.32x = 5,046.67 × 2,258.26
  4. Step 4: Simplify right side
    3,656.32x = 11,396,692.99
  5. Step 5: Solve for x
    x = 11,396,692.99/3,656.32
  6. Step 6: Final answer
    x = 3,116.98

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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.