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Finding the Fourth Proportional to 5,804.68, 8,010.82 and 3,286.90

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Solution

The fourth proportional to 5,804.68, 8,010.82 and 3,286.90 is: 4,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.68 : 8,010.82 = 3,286.90 : x
  2. Step 2: Convert to fraction form
    5,804.68/8,010.82 = 3,286.90/x
  3. Step 3: Cross multiply
    5,804.68x = 8,010.82 × 3,286.90
  4. Step 4: Simplify right side
    5,804.68x = 26,330,764.26
  5. Step 5: Solve for x
    x = 26,330,764.26/5,804.68
  6. Step 6: Final answer
    x = 4,536.13

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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.