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Finding the Fourth Proportional to 5,234.27, 7,850.19 and 1,535.51

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Solution

The fourth proportional to 5,234.27, 7,850.19 and 1,535.51 is: 2,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.27 : 7,850.19 = 1,535.51 : x
  2. Step 2: Convert to fraction form
    5,234.27/7,850.19 = 1,535.51/x
  3. Step 3: Cross multiply
    5,234.27x = 7,850.19 × 1,535.51
  4. Step 4: Simplify right side
    5,234.27x = 12,054,064.87
  5. Step 5: Solve for x
    x = 12,054,064.87/5,234.27
  6. Step 6: Final answer
    x = 2,302.91

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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.