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Finding the Fourth Proportional to 3,647.70, 5,468.76 and 1,698.48

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Solution

The fourth proportional to 3,647.70, 5,468.76 and 1,698.48 is: 2,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.70 : 5,468.76 = 1,698.48 : x
  2. Step 2: Convert to fraction form
    3,647.70/5,468.76 = 1,698.48/x
  3. Step 3: Cross multiply
    3,647.70x = 5,468.76 × 1,698.48
  4. Step 4: Simplify right side
    3,647.70x = 9,288,579.48
  5. Step 5: Solve for x
    x = 9,288,579.48/3,647.70
  6. Step 6: Final answer
    x = 2,546.42

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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.