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Finding the Fourth Proportional to 3,508, 5,262.77 and 1,042.99

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Solution

The fourth proportional to 3,508, 5,262.77 and 1,042.99 is: 1,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508 : 5,262.77 = 1,042.99 : x
  2. Step 2: Convert to fraction form
    3,508/5,262.77 = 1,042.99/x
  3. Step 3: Cross multiply
    3,508x = 5,262.77 × 1,042.99
  4. Step 4: Simplify right side
    3,508x = 5,489,016.48
  5. Step 5: Solve for x
    x = 5,489,016.48/3,508
  6. Step 6: Final answer
    x = 1,564.71

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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.