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Finding the Fourth Proportional to 4,489.61, 6,729.14 and 2,021.54

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Solution

The fourth proportional to 4,489.61, 6,729.14 and 2,021.54 is: 3,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.61 : 6,729.14 = 2,021.54 : x
  2. Step 2: Convert to fraction form
    4,489.61/6,729.14 = 2,021.54/x
  3. Step 3: Cross multiply
    4,489.61x = 6,729.14 × 2,021.54
  4. Step 4: Simplify right side
    4,489.61x = 13,603,181.92
  5. Step 5: Solve for x
    x = 13,603,181.92/4,489.61
  6. Step 6: Final answer
    x = 3,029.93

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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.