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Finding the Fourth Proportional to 5,169.13, 7,754.90 and 1,706.38

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Solution

The fourth proportional to 5,169.13, 7,754.90 and 1,706.38 is: 2,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.13 : 7,754.90 = 1,706.38 : x
  2. Step 2: Convert to fraction form
    5,169.13/7,754.90 = 1,706.38/x
  3. Step 3: Cross multiply
    5,169.13x = 7,754.90 × 1,706.38
  4. Step 4: Simplify right side
    5,169.13x = 13,232,806.26
  5. Step 5: Solve for x
    x = 13,232,806.26/5,169.13
  6. Step 6: Final answer
    x = 2,559.97

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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.