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Finding the Fourth Proportional to 5,616.72, 7,749.76 and 3,258.44

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Solution

The fourth proportional to 5,616.72, 7,749.76 and 3,258.44 is: 4,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.72 : 7,749.76 = 3,258.44 : x
  2. Step 2: Convert to fraction form
    5,616.72/7,749.76 = 3,258.44/x
  3. Step 3: Cross multiply
    5,616.72x = 7,749.76 × 3,258.44
  4. Step 4: Simplify right side
    5,616.72x = 25,252,127.97
  5. Step 5: Solve for x
    x = 25,252,127.97/5,616.72
  6. Step 6: Final answer
    x = 4,495.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.