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Finding the Fourth Proportional to 3,540.54, 5,310.36 and 943.32

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Solution

The fourth proportional to 3,540.54, 5,310.36 and 943.32 is: 1,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.54 : 5,310.36 = 943.32 : x
  2. Step 2: Convert to fraction form
    3,540.54/5,310.36 = 943.32/x
  3. Step 3: Cross multiply
    3,540.54x = 5,310.36 × 943.32
  4. Step 4: Simplify right side
    3,540.54x = 5,009,368.80
  5. Step 5: Solve for x
    x = 5,009,368.80/3,540.54
  6. Step 6: Final answer
    x = 1,414.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.