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Finding the Fourth Proportional to 5,169.94, 7,756.54 and 1,709.62

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Solution

The fourth proportional to 5,169.94, 7,756.54 and 1,709.62 is: 2,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.94 : 7,756.54 = 1,709.62 : x
  2. Step 2: Convert to fraction form
    5,169.94/7,756.54 = 1,709.62/x
  3. Step 3: Cross multiply
    5,169.94x = 7,756.54 × 1,709.62
  4. Step 4: Simplify right side
    5,169.94x = 13,260,735.91
  5. Step 5: Solve for x
    x = 13,260,735.91/5,169.94
  6. Step 6: Final answer
    x = 2,564.97

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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.