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Finding the Fourth Proportional to 5,796.26, 7,988.13 and 4,117.73

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Solution

The fourth proportional to 5,796.26, 7,988.13 and 4,117.73 is: 5,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.26 : 7,988.13 = 4,117.73 : x
  2. Step 2: Convert to fraction form
    5,796.26/7,988.13 = 4,117.73/x
  3. Step 3: Cross multiply
    5,796.26x = 7,988.13 × 4,117.73
  4. Step 4: Simplify right side
    5,796.26x = 32,892,962.54
  5. Step 5: Solve for x
    x = 32,892,962.54/5,796.26
  6. Step 6: Final answer
    x = 5,674.86

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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.