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Finding the Fourth Proportional to 3,290.64, 4,542.12 and 3,181.20

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Solution

The fourth proportional to 3,290.64, 4,542.12 and 3,181.20 is: 4,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.64 : 4,542.12 = 3,181.20 : x
  2. Step 2: Convert to fraction form
    3,290.64/4,542.12 = 3,181.20/x
  3. Step 3: Cross multiply
    3,290.64x = 4,542.12 × 3,181.20
  4. Step 4: Simplify right side
    3,290.64x = 14,449,392.14
  5. Step 5: Solve for x
    x = 14,449,392.14/3,290.64
  6. Step 6: Final answer
    x = 4,391.06

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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.