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Finding the Fourth Proportional to 5,790.86, 7,991.35 and 3,138.26

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Solution

The fourth proportional to 5,790.86, 7,991.35 and 3,138.26 is: 4,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.86 : 7,991.35 = 3,138.26 : x
  2. Step 2: Convert to fraction form
    5,790.86/7,991.35 = 3,138.26/x
  3. Step 3: Cross multiply
    5,790.86x = 7,991.35 × 3,138.26
  4. Step 4: Simplify right side
    5,790.86x = 25,078,946.18
  5. Step 5: Solve for x
    x = 25,078,946.18/5,790.86
  6. Step 6: Final answer
    x = 4,330.78

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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.