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Finding the Fourth Proportional to 5,933.50, 8,900.73 and 1,829.50

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Solution

The fourth proportional to 5,933.50, 8,900.73 and 1,829.50 is: 2,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.50 : 8,900.73 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    5,933.50/8,900.73 = 1,829.50/x
  3. Step 3: Cross multiply
    5,933.50x = 8,900.73 × 1,829.50
  4. Step 4: Simplify right side
    5,933.50x = 16,283,885.54
  5. Step 5: Solve for x
    x = 16,283,885.54/5,933.50
  6. Step 6: Final answer
    x = 2,744.40

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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.