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Finding the Fourth Proportional to 3,679.94, 5,507.76 and 2,294.30

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Solution

The fourth proportional to 3,679.94, 5,507.76 and 2,294.30 is: 3,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.94 : 5,507.76 = 2,294.30 : x
  2. Step 2: Convert to fraction form
    3,679.94/5,507.76 = 2,294.30/x
  3. Step 3: Cross multiply
    3,679.94x = 5,507.76 × 2,294.30
  4. Step 4: Simplify right side
    3,679.94x = 12,636,453.77
  5. Step 5: Solve for x
    x = 12,636,453.77/3,679.94
  6. Step 6: Final answer
    x = 3,433.87

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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.