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Finding the Fourth Proportional to 5,769.50, 7,965.75 and 3,412.40

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Solution

The fourth proportional to 5,769.50, 7,965.75 and 3,412.40 is: 4,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.50 : 7,965.75 = 3,412.40 : x
  2. Step 2: Convert to fraction form
    5,769.50/7,965.75 = 3,412.40/x
  3. Step 3: Cross multiply
    5,769.50x = 7,965.75 × 3,412.40
  4. Step 4: Simplify right side
    5,769.50x = 27,182,285.47
  5. Step 5: Solve for x
    x = 27,182,285.47/5,769.50
  6. Step 6: Final answer
    x = 4,711.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.