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Finding the Fourth Proportional to 3,614.15, 5,419.16 and 1,421.67

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Solution

The fourth proportional to 3,614.15, 5,419.16 and 1,421.67 is: 2,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.15 : 5,419.16 = 1,421.67 : x
  2. Step 2: Convert to fraction form
    3,614.15/5,419.16 = 1,421.67/x
  3. Step 3: Cross multiply
    3,614.15x = 5,419.16 × 1,421.67
  4. Step 4: Simplify right side
    3,614.15x = 7,704,250.09
  5. Step 5: Solve for x
    x = 7,704,250.09/3,614.15
  6. Step 6: Final answer
    x = 2,131.69

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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.