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Finding the Fourth Proportional to 5,137.85, 7,706.97 and 1,675.10

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Solution

The fourth proportional to 5,137.85, 7,706.97 and 1,675.10 is: 2,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.85 : 7,706.97 = 1,675.10 : x
  2. Step 2: Convert to fraction form
    5,137.85/7,706.97 = 1,675.10/x
  3. Step 3: Cross multiply
    5,137.85x = 7,706.97 × 1,675.10
  4. Step 4: Simplify right side
    5,137.85x = 12,909,906.91
  5. Step 5: Solve for x
    x = 12,909,906.91/5,137.85
  6. Step 6: Final answer
    x = 2,512.71

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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.