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Finding the Fourth Proportional to 3,968.82, 5,477.10 and 2,290.31

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Solution

The fourth proportional to 3,968.82, 5,477.10 and 2,290.31 is: 3,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.82 : 5,477.10 = 2,290.31 : x
  2. Step 2: Convert to fraction form
    3,968.82/5,477.10 = 2,290.31/x
  3. Step 3: Cross multiply
    3,968.82x = 5,477.10 × 2,290.31
  4. Step 4: Simplify right side
    3,968.82x = 12,544,229.52
  5. Step 5: Solve for x
    x = 12,544,229.52/3,968.82
  6. Step 6: Final answer
    x = 3,160.69

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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.