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Finding the Fourth Proportional to 6,842.28, 10,254.13 and 3,879.32

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Solution

The fourth proportional to 6,842.28, 10,254.13 and 3,879.32 is: 5,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.28 : 10,254.13 = 3,879.32 : x
  2. Step 2: Convert to fraction form
    6,842.28/10,254.13 = 3,879.32/x
  3. Step 3: Cross multiply
    6,842.28x = 10,254.13 × 3,879.32
  4. Step 4: Simplify right side
    6,842.28x = 39,779,027.50
  5. Step 5: Solve for x
    x = 39,779,027.50/6,842.28
  6. Step 6: Final answer
    x = 5,813.71

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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.