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Finding the Fourth Proportional to 5,727.64, 7,893.84 and 3,628.12

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Solution

The fourth proportional to 5,727.64, 7,893.84 and 3,628.12 is: 5,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.64 : 7,893.84 = 3,628.12 : x
  2. Step 2: Convert to fraction form
    5,727.64/7,893.84 = 3,628.12/x
  3. Step 3: Cross multiply
    5,727.64x = 7,893.84 × 3,628.12
  4. Step 4: Simplify right side
    5,727.64x = 28,639,798.78
  5. Step 5: Solve for x
    x = 28,639,798.78/5,727.64
  6. Step 6: Final answer
    x = 5,000.28

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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.