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Finding the Fourth Proportional to 5,249.51, 7,874.42 and 1,353.92

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Solution

The fourth proportional to 5,249.51, 7,874.42 and 1,353.92 is: 2,030.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.51 : 7,874.42 = 1,353.92 : x
  2. Step 2: Convert to fraction form
    5,249.51/7,874.42 = 1,353.92/x
  3. Step 3: Cross multiply
    5,249.51x = 7,874.42 × 1,353.92
  4. Step 4: Simplify right side
    5,249.51x = 10,661,288.58
  5. Step 5: Solve for x
    x = 10,661,288.58/5,249.51
  6. Step 6: Final answer
    x = 2,030.91

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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.