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Finding the Fourth Proportional to 5,179, 7,769.72 and 1,716.26

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Solution

The fourth proportional to 5,179, 7,769.72 and 1,716.26 is: 2,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179 : 7,769.72 = 1,716.26 : x
  2. Step 2: Convert to fraction form
    5,179/7,769.72 = 1,716.26/x
  3. Step 3: Cross multiply
    5,179x = 7,769.72 × 1,716.26
  4. Step 4: Simplify right side
    5,179x = 13,334,859.65
  5. Step 5: Solve for x
    x = 13,334,859.65/5,179
  6. Step 6: Final answer
    x = 2,574.79

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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.