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Finding the Fourth Proportional to 3,893.38, 5,842.50 and 1,584.88

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Solution

The fourth proportional to 3,893.38, 5,842.50 and 1,584.88 is: 2,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.38 : 5,842.50 = 1,584.88 : x
  2. Step 2: Convert to fraction form
    3,893.38/5,842.50 = 1,584.88/x
  3. Step 3: Cross multiply
    3,893.38x = 5,842.50 × 1,584.88
  4. Step 4: Simplify right side
    3,893.38x = 9,259,661.40
  5. Step 5: Solve for x
    x = 9,259,661.40/3,893.38
  6. Step 6: Final answer
    x = 2,378.31

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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.