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Finding the Fourth Proportional to 5,876.06, 8,101.96 and 5,380.34

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Solution

The fourth proportional to 5,876.06, 8,101.96 and 5,380.34 is: 7,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.06 : 8,101.96 = 5,380.34 : x
  2. Step 2: Convert to fraction form
    5,876.06/8,101.96 = 5,380.34/x
  3. Step 3: Cross multiply
    5,876.06x = 8,101.96 × 5,380.34
  4. Step 4: Simplify right side
    5,876.06x = 43,591,245.51
  5. Step 5: Solve for x
    x = 43,591,245.51/5,876.06
  6. Step 6: Final answer
    x = 7,418.45

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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.