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Finding the Fourth Proportional to 5,842.68, 8,062.82 and 3,190.06

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Solution

The fourth proportional to 5,842.68, 8,062.82 and 3,190.06 is: 4,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.68 : 8,062.82 = 3,190.06 : x
  2. Step 2: Convert to fraction form
    5,842.68/8,062.82 = 3,190.06/x
  3. Step 3: Cross multiply
    5,842.68x = 8,062.82 × 3,190.06
  4. Step 4: Simplify right side
    5,842.68x = 25,720,879.57
  5. Step 5: Solve for x
    x = 25,720,879.57/5,842.68
  6. Step 6: Final answer
    x = 4,402.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.