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Finding the Fourth Proportional to 3,047.20, 4,571.43 and 967.75

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Solution

The fourth proportional to 3,047.20, 4,571.43 and 967.75 is: 1,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.20 : 4,571.43 = 967.75 : x
  2. Step 2: Convert to fraction form
    3,047.20/4,571.43 = 967.75/x
  3. Step 3: Cross multiply
    3,047.20x = 4,571.43 × 967.75
  4. Step 4: Simplify right side
    3,047.20x = 4,424,001.38
  5. Step 5: Solve for x
    x = 4,424,001.38/3,047.20
  6. Step 6: Final answer
    x = 1,451.83

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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.