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Finding the Fourth Proportional to 5,265.38, 7,899.44 and 1,755.92

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Solution

The fourth proportional to 5,265.38, 7,899.44 and 1,755.92 is: 2,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.38 : 7,899.44 = 1,755.92 : x
  2. Step 2: Convert to fraction form
    5,265.38/7,899.44 = 1,755.92/x
  3. Step 3: Cross multiply
    5,265.38x = 7,899.44 × 1,755.92
  4. Step 4: Simplify right side
    5,265.38x = 13,870,784.68
  5. Step 5: Solve for x
    x = 13,870,784.68/5,265.38
  6. Step 6: Final answer
    x = 2,634.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.