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Finding the Fourth Proportional to 4,750.43, 7,123.93 and 1,629.62

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Solution

The fourth proportional to 4,750.43, 7,123.93 and 1,629.62 is: 2,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.43 : 7,123.93 = 1,629.62 : x
  2. Step 2: Convert to fraction form
    4,750.43/7,123.93 = 1,629.62/x
  3. Step 3: Cross multiply
    4,750.43x = 7,123.93 × 1,629.62
  4. Step 4: Simplify right side
    4,750.43x = 11,609,299.19
  5. Step 5: Solve for x
    x = 11,609,299.19/4,750.43
  6. Step 6: Final answer
    x = 2,443.84

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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.