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Finding the Fourth Proportional to 3,614.14, 5,421.42 and 1,016.88

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Solution

The fourth proportional to 3,614.14, 5,421.42 and 1,016.88 is: 1,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.14 : 5,421.42 = 1,016.88 : x
  2. Step 2: Convert to fraction form
    3,614.14/5,421.42 = 1,016.88/x
  3. Step 3: Cross multiply
    3,614.14x = 5,421.42 × 1,016.88
  4. Step 4: Simplify right side
    3,614.14x = 5,512,933.57
  5. Step 5: Solve for x
    x = 5,512,933.57/3,614.14
  6. Step 6: Final answer
    x = 1,525.38

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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.