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Finding the Fourth Proportional to 5,614.39, 8,412 and 3,147.67

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Solution

The fourth proportional to 5,614.39, 8,412 and 3,147.67 is: 4,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.39 : 8,412 = 3,147.67 : x
  2. Step 2: Convert to fraction form
    5,614.39/8,412 = 3,147.67/x
  3. Step 3: Cross multiply
    5,614.39x = 8,412 × 3,147.67
  4. Step 4: Simplify right side
    5,614.39x = 26,478,200.04
  5. Step 5: Solve for x
    x = 26,478,200.04/5,614.39
  6. Step 6: Final answer
    x = 4,716.13

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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.