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Finding the Fourth Proportional to 5,891.68, 8,128.86 and 3,797.02

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Solution

The fourth proportional to 5,891.68, 8,128.86 and 3,797.02 is: 5,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.68 : 8,128.86 = 3,797.02 : x
  2. Step 2: Convert to fraction form
    5,891.68/8,128.86 = 3,797.02/x
  3. Step 3: Cross multiply
    5,891.68x = 8,128.86 × 3,797.02
  4. Step 4: Simplify right side
    5,891.68x = 30,865,444.00
  5. Step 5: Solve for x
    x = 30,865,444.00/5,891.68
  6. Step 6: Final answer
    x = 5,238.82

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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.