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Finding the Fourth Proportional to 5,167.26, 7,750.89 and 1,271.67

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Solution

The fourth proportional to 5,167.26, 7,750.89 and 1,271.67 is: 1,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.26 : 7,750.89 = 1,271.67 : x
  2. Step 2: Convert to fraction form
    5,167.26/7,750.89 = 1,271.67/x
  3. Step 3: Cross multiply
    5,167.26x = 7,750.89 × 1,271.67
  4. Step 4: Simplify right side
    5,167.26x = 9,856,574.29
  5. Step 5: Solve for x
    x = 9,856,574.29/5,167.26
  6. Step 6: Final answer
    x = 1,907.51

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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.