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Finding the Fourth Proportional to 3,969.50, 5,477.42 and 2,290.88

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Solution

The fourth proportional to 3,969.50, 5,477.42 and 2,290.88 is: 3,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.50 : 5,477.42 = 2,290.88 : x
  2. Step 2: Convert to fraction form
    3,969.50/5,477.42 = 2,290.88/x
  3. Step 3: Cross multiply
    3,969.50x = 5,477.42 × 2,290.88
  4. Step 4: Simplify right side
    3,969.50x = 12,548,131.35
  5. Step 5: Solve for x
    x = 12,548,131.35/3,969.50
  6. Step 6: Final answer
    x = 3,161.14

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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.