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Finding the Fourth Proportional to 5,679.82, 7,838.33 and 3,092.93

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Solution

The fourth proportional to 5,679.82, 7,838.33 and 3,092.93 is: 4,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.82 : 7,838.33 = 3,092.93 : x
  2. Step 2: Convert to fraction form
    5,679.82/7,838.33 = 3,092.93/x
  3. Step 3: Cross multiply
    5,679.82x = 7,838.33 × 3,092.93
  4. Step 4: Simplify right side
    5,679.82x = 24,243,415.80
  5. Step 5: Solve for x
    x = 24,243,415.80/5,679.82
  6. Step 6: Final answer
    x = 4,268.34

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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.