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Finding the Fourth Proportional to 5,836.52, 8,052.94 and 3,567.28

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Solution

The fourth proportional to 5,836.52, 8,052.94 and 3,567.28 is: 4,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.52 : 8,052.94 = 3,567.28 : x
  2. Step 2: Convert to fraction form
    5,836.52/8,052.94 = 3,567.28/x
  3. Step 3: Cross multiply
    5,836.52x = 8,052.94 × 3,567.28
  4. Step 4: Simplify right side
    5,836.52x = 28,727,091.80
  5. Step 5: Solve for x
    x = 28,727,091.80/5,836.52
  6. Step 6: Final answer
    x = 4,921.96

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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.