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Finding the Fourth Proportional to 5,173.97, 7,137.05 and 3,756

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Solution

The fourth proportional to 5,173.97, 7,137.05 and 3,756 is: 5,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.97 : 7,137.05 = 3,756 : x
  2. Step 2: Convert to fraction form
    5,173.97/7,137.05 = 3,756/x
  3. Step 3: Cross multiply
    5,173.97x = 7,137.05 × 3,756
  4. Step 4: Simplify right side
    5,173.97x = 26,806,741.02
  5. Step 5: Solve for x
    x = 26,806,741.02/5,173.97
  6. Step 6: Final answer
    x = 5,181.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.