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Finding the Fourth Proportional to 3,739.80, 5,610.39 and 1,274.40

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Solution

The fourth proportional to 3,739.80, 5,610.39 and 1,274.40 is: 1,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.80 : 5,610.39 = 1,274.40 : x
  2. Step 2: Convert to fraction form
    3,739.80/5,610.39 = 1,274.40/x
  3. Step 3: Cross multiply
    3,739.80x = 5,610.39 × 1,274.40
  4. Step 4: Simplify right side
    3,739.80x = 7,149,881.02
  5. Step 5: Solve for x
    x = 7,149,881.02/3,739.80
  6. Step 6: Final answer
    x = 1,911.84

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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.