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Finding the Fourth Proportional to 4,917.70, 7,372.23 and 2,323.78

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Solution

The fourth proportional to 4,917.70, 7,372.23 and 2,323.78 is: 3,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.70 : 7,372.23 = 2,323.78 : x
  2. Step 2: Convert to fraction form
    4,917.70/7,372.23 = 2,323.78/x
  3. Step 3: Cross multiply
    4,917.70x = 7,372.23 × 2,323.78
  4. Step 4: Simplify right side
    4,917.70x = 17,131,440.63
  5. Step 5: Solve for x
    x = 17,131,440.63/4,917.70
  6. Step 6: Final answer
    x = 3,483.63

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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.