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Finding the Fourth Proportional to 4,965.28, 7,450.54 and 2,193.86

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Solution

The fourth proportional to 4,965.28, 7,450.54 and 2,193.86 is: 3,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.28 : 7,450.54 = 2,193.86 : x
  2. Step 2: Convert to fraction form
    4,965.28/7,450.54 = 2,193.86/x
  3. Step 3: Cross multiply
    4,965.28x = 7,450.54 × 2,193.86
  4. Step 4: Simplify right side
    4,965.28x = 16,345,454.83
  5. Step 5: Solve for x
    x = 16,345,454.83/4,965.28
  6. Step 6: Final answer
    x = 3,291.95

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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.