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Finding the Fourth Proportional to 3,343.41, 4,977.09 and 3,184.20

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Solution

The fourth proportional to 3,343.41, 4,977.09 and 3,184.20 is: 4,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.41 : 4,977.09 = 3,184.20 : x
  2. Step 2: Convert to fraction form
    3,343.41/4,977.09 = 3,184.20/x
  3. Step 3: Cross multiply
    3,343.41x = 4,977.09 × 3,184.20
  4. Step 4: Simplify right side
    3,343.41x = 15,848,049.98
  5. Step 5: Solve for x
    x = 15,848,049.98/3,343.41
  6. Step 6: Final answer
    x = 4,740.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.