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Finding the Fourth Proportional to 5,845.56, 8,769.96 and 2,382

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Solution

The fourth proportional to 5,845.56, 8,769.96 and 2,382 is: 3,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.56 : 8,769.96 = 2,382 : x
  2. Step 2: Convert to fraction form
    5,845.56/8,769.96 = 2,382/x
  3. Step 3: Cross multiply
    5,845.56x = 8,769.96 × 2,382
  4. Step 4: Simplify right side
    5,845.56x = 20,890,044.72
  5. Step 5: Solve for x
    x = 20,890,044.72/5,845.56
  6. Step 6: Final answer
    x = 3,573.66

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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.