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Finding the Fourth Proportional to 5,235.38, 7,853.80 and 1,537.09

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Solution

The fourth proportional to 5,235.38, 7,853.80 and 1,537.09 is: 2,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.38 : 7,853.80 = 1,537.09 : x
  2. Step 2: Convert to fraction form
    5,235.38/7,853.80 = 1,537.09/x
  3. Step 3: Cross multiply
    5,235.38x = 7,853.80 × 1,537.09
  4. Step 4: Simplify right side
    5,235.38x = 12,071,997.44
  5. Step 5: Solve for x
    x = 12,071,997.44/5,235.38
  6. Step 6: Final answer
    x = 2,305.85

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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.