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Finding the Fourth Proportional to 5,822.06, 8,034.43 and 3,169.46

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Solution

The fourth proportional to 5,822.06, 8,034.43 and 3,169.46 is: 4,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.06 : 8,034.43 = 3,169.46 : x
  2. Step 2: Convert to fraction form
    5,822.06/8,034.43 = 3,169.46/x
  3. Step 3: Cross multiply
    5,822.06x = 8,034.43 × 3,169.46
  4. Step 4: Simplify right side
    5,822.06x = 25,464,804.51
  5. Step 5: Solve for x
    x = 25,464,804.51/5,822.06
  6. Step 6: Final answer
    x = 4,373.85

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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.