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Finding the Fourth Proportional to 3,614.69, 5,422.07 and 1,394.60

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Solution

The fourth proportional to 3,614.69, 5,422.07 and 1,394.60 is: 2,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.69 : 5,422.07 = 1,394.60 : x
  2. Step 2: Convert to fraction form
    3,614.69/5,422.07 = 1,394.60/x
  3. Step 3: Cross multiply
    3,614.69x = 5,422.07 × 1,394.60
  4. Step 4: Simplify right side
    3,614.69x = 7,561,595.20
  5. Step 5: Solve for x
    x = 7,561,595.20/3,614.69
  6. Step 6: Final answer
    x = 2,091.91

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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.