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Finding the Fourth Proportional to 5,893.92, 8,842.61 and 2,382.14

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Solution

The fourth proportional to 5,893.92, 8,842.61 and 2,382.14 is: 3,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.92 : 8,842.61 = 2,382.14 : x
  2. Step 2: Convert to fraction form
    5,893.92/8,842.61 = 2,382.14/x
  3. Step 3: Cross multiply
    5,893.92x = 8,842.61 × 2,382.14
  4. Step 4: Simplify right side
    5,893.92x = 21,064,363.05
  5. Step 5: Solve for x
    x = 21,064,363.05/5,893.92
  6. Step 6: Final answer
    x = 3,573.91

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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.