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Finding the Fourth Proportional to 5,180.97, 7,771.24 and 1,671.10

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Solution

The fourth proportional to 5,180.97, 7,771.24 and 1,671.10 is: 2,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.97 : 7,771.24 = 1,671.10 : x
  2. Step 2: Convert to fraction form
    5,180.97/7,771.24 = 1,671.10/x
  3. Step 3: Cross multiply
    5,180.97x = 7,771.24 × 1,671.10
  4. Step 4: Simplify right side
    5,180.97x = 12,986,519.16
  5. Step 5: Solve for x
    x = 12,986,519.16/5,180.97
  6. Step 6: Final answer
    x = 2,506.58

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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.