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Finding the Fourth Proportional to 5,173.82, 7,760.71 and 1,711.07

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Solution

The fourth proportional to 5,173.82, 7,760.71 and 1,711.07 is: 2,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.82 : 7,760.71 = 1,711.07 : x
  2. Step 2: Convert to fraction form
    5,173.82/7,760.71 = 1,711.07/x
  3. Step 3: Cross multiply
    5,173.82x = 7,760.71 × 1,711.07
  4. Step 4: Simplify right side
    5,173.82x = 13,279,118.06
  5. Step 5: Solve for x
    x = 13,279,118.06/5,173.82
  6. Step 6: Final answer
    x = 2,566.60

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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.