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Finding the Fourth Proportional to 3,742.40, 5,609.86 and 3,086.30

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Solution

The fourth proportional to 3,742.40, 5,609.86 and 3,086.30 is: 4,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.40 : 5,609.86 = 3,086.30 : x
  2. Step 2: Convert to fraction form
    3,742.40/5,609.86 = 3,086.30/x
  3. Step 3: Cross multiply
    3,742.40x = 5,609.86 × 3,086.30
  4. Step 4: Simplify right side
    3,742.40x = 17,313,717.23
  5. Step 5: Solve for x
    x = 17,313,717.23/3,742.40
  6. Step 6: Final answer
    x = 4,626.36

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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.