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Finding the Fourth Proportional to 5,409, 8,107.68 and 2,288.28

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Solution

The fourth proportional to 5,409, 8,107.68 and 2,288.28 is: 3,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 8,107.68 = 2,288.28 : x
  2. Step 2: Convert to fraction form
    5,409/8,107.68 = 2,288.28/x
  3. Step 3: Cross multiply
    5,409x = 8,107.68 × 2,288.28
  4. Step 4: Simplify right side
    5,409x = 18,552,641.99
  5. Step 5: Solve for x
    x = 18,552,641.99/5,409
  6. Step 6: Final answer
    x = 3,429.96

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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.