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Finding the Fourth Proportional to 5,429.50, 8,144.25 and 1,966.75

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Solution

The fourth proportional to 5,429.50, 8,144.25 and 1,966.75 is: 2,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.50 : 8,144.25 = 1,966.75 : x
  2. Step 2: Convert to fraction form
    5,429.50/8,144.25 = 1,966.75/x
  3. Step 3: Cross multiply
    5,429.50x = 8,144.25 × 1,966.75
  4. Step 4: Simplify right side
    5,429.50x = 16,017,703.69
  5. Step 5: Solve for x
    x = 16,017,703.69/5,429.50
  6. Step 6: Final answer
    x = 2,950.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.