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Finding the Fourth Proportional to 3,424.48, 4,745.31 and 3,216.40

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Solution

The fourth proportional to 3,424.48, 4,745.31 and 3,216.40 is: 4,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.48 : 4,745.31 = 3,216.40 : x
  2. Step 2: Convert to fraction form
    3,424.48/4,745.31 = 3,216.40/x
  3. Step 3: Cross multiply
    3,424.48x = 4,745.31 × 3,216.40
  4. Step 4: Simplify right side
    3,424.48x = 15,262,815.08
  5. Step 5: Solve for x
    x = 15,262,815.08/3,424.48
  6. Step 6: Final answer
    x = 4,456.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.