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Finding the Fourth Proportional to 5,171.46, 7,750.71 and 2,575.14

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Solution

The fourth proportional to 5,171.46, 7,750.71 and 2,575.14 is: 3,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.46 : 7,750.71 = 2,575.14 : x
  2. Step 2: Convert to fraction form
    5,171.46/7,750.71 = 2,575.14/x
  3. Step 3: Cross multiply
    5,171.46x = 7,750.71 × 2,575.14
  4. Step 4: Simplify right side
    5,171.46x = 19,959,163.35
  5. Step 5: Solve for x
    x = 19,959,163.35/5,171.46
  6. Step 6: Final answer
    x = 3,859.48

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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.