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Finding the Fourth Proportional to 3,393.40, 5,090.46 and 2,661.64

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Solution

The fourth proportional to 3,393.40, 5,090.46 and 2,661.64 is: 3,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.40 : 5,090.46 = 2,661.64 : x
  2. Step 2: Convert to fraction form
    3,393.40/5,090.46 = 2,661.64/x
  3. Step 3: Cross multiply
    3,393.40x = 5,090.46 × 2,661.64
  4. Step 4: Simplify right side
    3,393.40x = 13,548,971.95
  5. Step 5: Solve for x
    x = 13,548,971.95/3,393.40
  6. Step 6: Final answer
    x = 3,992.74

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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.