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Finding the Fourth Proportional to 4,489.89, 6,728.58 and 2,293.98

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Solution

The fourth proportional to 4,489.89, 6,728.58 and 2,293.98 is: 3,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.89 : 6,728.58 = 2,293.98 : x
  2. Step 2: Convert to fraction form
    4,489.89/6,728.58 = 2,293.98/x
  3. Step 3: Cross multiply
    4,489.89x = 6,728.58 × 2,293.98
  4. Step 4: Simplify right side
    4,489.89x = 15,435,227.95
  5. Step 5: Solve for x
    x = 15,435,227.95/4,489.89
  6. Step 6: Final answer
    x = 3,437.77

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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.