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Finding the Fourth Proportional to 5,717.69, 7,890.81 and 3,200.04

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Solution

The fourth proportional to 5,717.69, 7,890.81 and 3,200.04 is: 4,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.69 : 7,890.81 = 3,200.04 : x
  2. Step 2: Convert to fraction form
    5,717.69/7,890.81 = 3,200.04/x
  3. Step 3: Cross multiply
    5,717.69x = 7,890.81 × 3,200.04
  4. Step 4: Simplify right side
    5,717.69x = 25,250,907.63
  5. Step 5: Solve for x
    x = 25,250,907.63/5,717.69
  6. Step 6: Final answer
    x = 4,416.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.