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Finding the Fourth Proportional to 5,227.53, 7,843.86 and 2,302.35

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Solution

The fourth proportional to 5,227.53, 7,843.86 and 2,302.35 is: 3,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.53 : 7,843.86 = 2,302.35 : x
  2. Step 2: Convert to fraction form
    5,227.53/7,843.86 = 2,302.35/x
  3. Step 3: Cross multiply
    5,227.53x = 7,843.86 × 2,302.35
  4. Step 4: Simplify right side
    5,227.53x = 18,059,311.07
  5. Step 5: Solve for x
    x = 18,059,311.07/5,227.53
  6. Step 6: Final answer
    x = 3,454.65

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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.