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Finding the Fourth Proportional to 5,616.60, 7,749.72 and 3,258.44

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Solution

The fourth proportional to 5,616.60, 7,749.72 and 3,258.44 is: 4,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.60 : 7,749.72 = 3,258.44 : x
  2. Step 2: Convert to fraction form
    5,616.60/7,749.72 = 3,258.44/x
  3. Step 3: Cross multiply
    5,616.60x = 7,749.72 × 3,258.44
  4. Step 4: Simplify right side
    5,616.60x = 25,251,997.64
  5. Step 5: Solve for x
    x = 25,251,997.64/5,616.60
  6. Step 6: Final answer
    x = 4,495.96

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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.