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Finding the Fourth Proportional to 3,817.86, 5,727.36 and 1,221

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Solution

The fourth proportional to 3,817.86, 5,727.36 and 1,221 is: 1,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.86 : 5,727.36 = 1,221 : x
  2. Step 2: Convert to fraction form
    3,817.86/5,727.36 = 1,221/x
  3. Step 3: Cross multiply
    3,817.86x = 5,727.36 × 1,221
  4. Step 4: Simplify right side
    3,817.86x = 6,993,106.56
  5. Step 5: Solve for x
    x = 6,993,106.56/3,817.86
  6. Step 6: Final answer
    x = 1,831.68

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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.