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Finding the Fourth Proportional to 5,804.09, 8,009.54 and 3,286.16

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Solution

The fourth proportional to 5,804.09, 8,009.54 and 3,286.16 is: 4,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.09 : 8,009.54 = 3,286.16 : x
  2. Step 2: Convert to fraction form
    5,804.09/8,009.54 = 3,286.16/x
  3. Step 3: Cross multiply
    5,804.09x = 8,009.54 × 3,286.16
  4. Step 4: Simplify right side
    5,804.09x = 26,320,613.54
  5. Step 5: Solve for x
    x = 26,320,613.54/5,804.09
  6. Step 6: Final answer
    x = 4,534.84

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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.