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Finding the Fourth Proportional to 5,385.34, 8,072.03 and 2,264.43

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Solution

The fourth proportional to 5,385.34, 8,072.03 and 2,264.43 is: 3,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.34 : 8,072.03 = 2,264.43 : x
  2. Step 2: Convert to fraction form
    5,385.34/8,072.03 = 2,264.43/x
  3. Step 3: Cross multiply
    5,385.34x = 8,072.03 × 2,264.43
  4. Step 4: Simplify right side
    5,385.34x = 18,278,546.89
  5. Step 5: Solve for x
    x = 18,278,546.89/5,385.34
  6. Step 6: Final answer
    x = 3,394.13

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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.