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Finding the Fourth Proportional to 3,498.72, 5,251.32 and 1,768.56

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Solution

The fourth proportional to 3,498.72, 5,251.32 and 1,768.56 is: 2,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.72 : 5,251.32 = 1,768.56 : x
  2. Step 2: Convert to fraction form
    3,498.72/5,251.32 = 1,768.56/x
  3. Step 3: Cross multiply
    3,498.72x = 5,251.32 × 1,768.56
  4. Step 4: Simplify right side
    3,498.72x = 9,287,274.50
  5. Step 5: Solve for x
    x = 9,287,274.50/3,498.72
  6. Step 6: Final answer
    x = 2,654.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.