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Finding the Fourth Proportional to 3,730.25, 5,147.75 and 2,074.25

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Solution

The fourth proportional to 3,730.25, 5,147.75 and 2,074.25 is: 2,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.25 : 5,147.75 = 2,074.25 : x
  2. Step 2: Convert to fraction form
    3,730.25/5,147.75 = 2,074.25/x
  3. Step 3: Cross multiply
    3,730.25x = 5,147.75 × 2,074.25
  4. Step 4: Simplify right side
    3,730.25x = 10,677,720.44
  5. Step 5: Solve for x
    x = 10,677,720.44/3,730.25
  6. Step 6: Final answer
    x = 2,862.47

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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.