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Finding the Fourth Proportional to 3,730.52, 5,181.86 and 3,671

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Solution

The fourth proportional to 3,730.52, 5,181.86 and 3,671 is: 5,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.52 : 5,181.86 = 3,671 : x
  2. Step 2: Convert to fraction form
    3,730.52/5,181.86 = 3,671/x
  3. Step 3: Cross multiply
    3,730.52x = 5,181.86 × 3,671
  4. Step 4: Simplify right side
    3,730.52x = 19,022,608.06
  5. Step 5: Solve for x
    x = 19,022,608.06/3,730.52
  6. Step 6: Final answer
    x = 5,099.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.