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Finding the Fourth Proportional to 4,344.45, 5,989.06 and 2,849.78

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Solution

The fourth proportional to 4,344.45, 5,989.06 and 2,849.78 is: 3,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.45 : 5,989.06 = 2,849.78 : x
  2. Step 2: Convert to fraction form
    4,344.45/5,989.06 = 2,849.78/x
  3. Step 3: Cross multiply
    4,344.45x = 5,989.06 × 2,849.78
  4. Step 4: Simplify right side
    4,344.45x = 17,067,503.41
  5. Step 5: Solve for x
    x = 17,067,503.41/4,344.45
  6. Step 6: Final answer
    x = 3,928.58

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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.