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Finding the Fourth Proportional to 5,743.97, 8,615.96 and 1,639.97

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Solution

The fourth proportional to 5,743.97, 8,615.96 and 1,639.97 is: 2,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.97 : 8,615.96 = 1,639.97 : x
  2. Step 2: Convert to fraction form
    5,743.97/8,615.96 = 1,639.97/x
  3. Step 3: Cross multiply
    5,743.97x = 8,615.96 × 1,639.97
  4. Step 4: Simplify right side
    5,743.97x = 14,129,907.72
  5. Step 5: Solve for x
    x = 14,129,907.72/5,743.97
  6. Step 6: Final answer
    x = 2,459.96

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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.