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Finding the Fourth Proportional to 5,842.64, 8,062.80 and 3,324.68

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Solution

The fourth proportional to 5,842.64, 8,062.80 and 3,324.68 is: 4,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.64 : 8,062.80 = 3,324.68 : x
  2. Step 2: Convert to fraction form
    5,842.64/8,062.80 = 3,324.68/x
  3. Step 3: Cross multiply
    5,842.64x = 8,062.80 × 3,324.68
  4. Step 4: Simplify right side
    5,842.64x = 26,806,229.90
  5. Step 5: Solve for x
    x = 26,806,229.90/5,842.64
  6. Step 6: Final answer
    x = 4,588.03

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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.