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Finding the Fourth Proportional to 5,885.38, 8,825.16 and 3,420.82

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Solution

The fourth proportional to 5,885.38, 8,825.16 and 3,420.82 is: 5,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.38 : 8,825.16 = 3,420.82 : x
  2. Step 2: Convert to fraction form
    5,885.38/8,825.16 = 3,420.82/x
  3. Step 3: Cross multiply
    5,885.38x = 8,825.16 × 3,420.82
  4. Step 4: Simplify right side
    5,885.38x = 30,189,283.83
  5. Step 5: Solve for x
    x = 30,189,283.83/5,885.38
  6. Step 6: Final answer
    x = 5,129.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.