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Finding the Fourth Proportional to 3,740.09, 5,609.33 and 1,400

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Solution

The fourth proportional to 3,740.09, 5,609.33 and 1,400 is: 2,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.09 : 5,609.33 = 1,400 : x
  2. Step 2: Convert to fraction form
    3,740.09/5,609.33 = 1,400/x
  3. Step 3: Cross multiply
    3,740.09x = 5,609.33 × 1,400
  4. Step 4: Simplify right side
    3,740.09x = 7,853,055
  5. Step 5: Solve for x
    x = 7,853,055/3,740.09
  6. Step 6: Final answer
    x = 2,099.70

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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.