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Finding the Fourth Proportional to 3,817.50, 5,267.13 and 2,304.69

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Solution

The fourth proportional to 3,817.50, 5,267.13 and 2,304.69 is: 3,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.50 : 5,267.13 = 2,304.69 : x
  2. Step 2: Convert to fraction form
    3,817.50/5,267.13 = 2,304.69/x
  3. Step 3: Cross multiply
    3,817.50x = 5,267.13 × 2,304.69
  4. Step 4: Simplify right side
    3,817.50x = 12,139,101.84
  5. Step 5: Solve for x
    x = 12,139,101.84/3,817.50
  6. Step 6: Final answer
    x = 3,179.86

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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.