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Finding the Fourth Proportional to 4,842.65, 6,683.54 and 2,826.73

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Solution

The fourth proportional to 4,842.65, 6,683.54 and 2,826.73 is: 3,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.65 : 6,683.54 = 2,826.73 : x
  2. Step 2: Convert to fraction form
    4,842.65/6,683.54 = 2,826.73/x
  3. Step 3: Cross multiply
    4,842.65x = 6,683.54 × 2,826.73
  4. Step 4: Simplify right side
    4,842.65x = 18,892,553.38
  5. Step 5: Solve for x
    x = 18,892,553.38/4,842.65
  6. Step 6: Final answer
    x = 3,901.28

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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.