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Finding the Fourth Proportional to 3,740.28, 5,610.42 and 1,659.80

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Solution

The fourth proportional to 3,740.28, 5,610.42 and 1,659.80 is: 2,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.28 : 5,610.42 = 1,659.80 : x
  2. Step 2: Convert to fraction form
    3,740.28/5,610.42 = 1,659.80/x
  3. Step 3: Cross multiply
    3,740.28x = 5,610.42 × 1,659.80
  4. Step 4: Simplify right side
    3,740.28x = 9,312,175.12
  5. Step 5: Solve for x
    x = 9,312,175.12/3,740.28
  6. Step 6: Final answer
    x = 2,489.70

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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.