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Finding the Fourth Proportional to 3,491.73, 5,228.37 and 3,289.41

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Solution

The fourth proportional to 3,491.73, 5,228.37 and 3,289.41 is: 4,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.73 : 5,228.37 = 3,289.41 : x
  2. Step 2: Convert to fraction form
    3,491.73/5,228.37 = 3,289.41/x
  3. Step 3: Cross multiply
    3,491.73x = 5,228.37 × 3,289.41
  4. Step 4: Simplify right side
    3,491.73x = 17,198,252.56
  5. Step 5: Solve for x
    x = 17,198,252.56/3,491.73
  6. Step 6: Final answer
    x = 4,925.42

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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.