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Finding the Fourth Proportional to 5,769.17, 7,960.77 and 3,250.70

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Solution

The fourth proportional to 5,769.17, 7,960.77 and 3,250.70 is: 4,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.17 : 7,960.77 = 3,250.70 : x
  2. Step 2: Convert to fraction form
    5,769.17/7,960.77 = 3,250.70/x
  3. Step 3: Cross multiply
    5,769.17x = 7,960.77 × 3,250.70
  4. Step 4: Simplify right side
    5,769.17x = 25,878,075.04
  5. Step 5: Solve for x
    x = 25,878,075.04/5,769.17
  6. Step 6: Final answer
    x = 4,485.58

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