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Finding the Fourth Proportional to 3,223.86, 4,835.09 and 1,143.93

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Solution

The fourth proportional to 3,223.86, 4,835.09 and 1,143.93 is: 1,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.86 : 4,835.09 = 1,143.93 : x
  2. Step 2: Convert to fraction form
    3,223.86/4,835.09 = 1,143.93/x
  3. Step 3: Cross multiply
    3,223.86x = 4,835.09 × 1,143.93
  4. Step 4: Simplify right side
    3,223.86x = 5,530,974.61
  5. Step 5: Solve for x
    x = 5,530,974.61/3,223.86
  6. Step 6: Final answer
    x = 1,715.64

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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.