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Finding the Fourth Proportional to 3,969.43, 5,477.84 and 2,290.91

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Solution

The fourth proportional to 3,969.43, 5,477.84 and 2,290.91 is: 3,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.43 : 5,477.84 = 2,290.91 : x
  2. Step 2: Convert to fraction form
    3,969.43/5,477.84 = 2,290.91/x
  3. Step 3: Cross multiply
    3,969.43x = 5,477.84 × 2,290.91
  4. Step 4: Simplify right side
    3,969.43x = 12,549,244.16
  5. Step 5: Solve for x
    x = 12,549,244.16/3,969.43
  6. Step 6: Final answer
    x = 3,161.47

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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.