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Finding the Fourth Proportional to 5,233.58, 7,850.32 and 1,337.97

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Solution

The fourth proportional to 5,233.58, 7,850.32 and 1,337.97 is: 2,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.58 : 7,850.32 = 1,337.97 : x
  2. Step 2: Convert to fraction form
    5,233.58/7,850.32 = 1,337.97/x
  3. Step 3: Cross multiply
    5,233.58x = 7,850.32 × 1,337.97
  4. Step 4: Simplify right side
    5,233.58x = 10,503,492.65
  5. Step 5: Solve for x
    x = 10,503,492.65/5,233.58
  6. Step 6: Final answer
    x = 2,006.94

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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.