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Finding the Fourth Proportional to 5,836.57, 8,054.46 and 3,184.00

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Solution

The fourth proportional to 5,836.57, 8,054.46 and 3,184.00 is: 4,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.57 : 8,054.46 = 3,184.00 : x
  2. Step 2: Convert to fraction form
    5,836.57/8,054.46 = 3,184.00/x
  3. Step 3: Cross multiply
    5,836.57x = 8,054.46 × 3,184.00
  4. Step 4: Simplify right side
    5,836.57x = 25,645,380.50
  5. Step 5: Solve for x
    x = 25,645,380.50/5,836.57
  6. Step 6: Final answer
    x = 4,393.91

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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.