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Finding the Fourth Proportional to 5,822.82, 8,035.55 and 3,170.22

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Solution

The fourth proportional to 5,822.82, 8,035.55 and 3,170.22 is: 4,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.82 : 8,035.55 = 3,170.22 : x
  2. Step 2: Convert to fraction form
    5,822.82/8,035.55 = 3,170.22/x
  3. Step 3: Cross multiply
    5,822.82x = 8,035.55 × 3,170.22
  4. Step 4: Simplify right side
    5,822.82x = 25,474,461.32
  5. Step 5: Solve for x
    x = 25,474,461.32/5,822.82
  6. Step 6: Final answer
    x = 4,374.94

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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.