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Finding the Fourth Proportional to 4,733.82, 7,100.46 and 1,223.82

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Solution

The fourth proportional to 4,733.82, 7,100.46 and 1,223.82 is: 1,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.82 : 7,100.46 = 1,223.82 : x
  2. Step 2: Convert to fraction form
    4,733.82/7,100.46 = 1,223.82/x
  3. Step 3: Cross multiply
    4,733.82x = 7,100.46 × 1,223.82
  4. Step 4: Simplify right side
    4,733.82x = 8,689,684.96
  5. Step 5: Solve for x
    x = 8,689,684.96/4,733.82
  6. Step 6: Final answer
    x = 1,835.66

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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.