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Finding the Fourth Proportional to 5,804.82, 8,010.80 and 3,286.93

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Solution

The fourth proportional to 5,804.82, 8,010.80 and 3,286.93 is: 4,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.82 : 8,010.80 = 3,286.93 : x
  2. Step 2: Convert to fraction form
    5,804.82/8,010.80 = 3,286.93/x
  3. Step 3: Cross multiply
    5,804.82x = 8,010.80 × 3,286.93
  4. Step 4: Simplify right side
    5,804.82x = 26,330,938.84
  5. Step 5: Solve for x
    x = 26,330,938.84/5,804.82
  6. Step 6: Final answer
    x = 4,536.05

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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.