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Finding the Fourth Proportional to 3,969.54, 5,477.90 and 2,290.96

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Solution

The fourth proportional to 3,969.54, 5,477.90 and 2,290.96 is: 3,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.54 : 5,477.90 = 2,290.96 : x
  2. Step 2: Convert to fraction form
    3,969.54/5,477.90 = 2,290.96/x
  3. Step 3: Cross multiply
    3,969.54x = 5,477.90 × 2,290.96
  4. Step 4: Simplify right side
    3,969.54x = 12,549,649.78
  5. Step 5: Solve for x
    x = 12,549,649.78/3,969.54
  6. Step 6: Final answer
    x = 3,161.49

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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.