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Finding the Fourth Proportional to 4,066.81, 6,101.12 and 1,293.57

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Solution

The fourth proportional to 4,066.81, 6,101.12 and 1,293.57 is: 1,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.81 : 6,101.12 = 1,293.57 : x
  2. Step 2: Convert to fraction form
    4,066.81/6,101.12 = 1,293.57/x
  3. Step 3: Cross multiply
    4,066.81x = 6,101.12 × 1,293.57
  4. Step 4: Simplify right side
    4,066.81x = 7,892,229.03
  5. Step 5: Solve for x
    x = 7,892,229.03/4,066.81
  6. Step 6: Final answer
    x = 1,940.64

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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.