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Finding the Fourth Proportional to 3,536.92, 5,305.65 and 1,893.61

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Solution

The fourth proportional to 3,536.92, 5,305.65 and 1,893.61 is: 2,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.92 : 5,305.65 = 1,893.61 : x
  2. Step 2: Convert to fraction form
    3,536.92/5,305.65 = 1,893.61/x
  3. Step 3: Cross multiply
    3,536.92x = 5,305.65 × 1,893.61
  4. Step 4: Simplify right side
    3,536.92x = 10,046,831.90
  5. Step 5: Solve for x
    x = 10,046,831.90/3,536.92
  6. Step 6: Final answer
    x = 2,840.56

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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.