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Finding the Fourth Proportional to 4,806.42, 7,209.56 and 2,614.64

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Solution

The fourth proportional to 4,806.42, 7,209.56 and 2,614.64 is: 3,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.42 : 7,209.56 = 2,614.64 : x
  2. Step 2: Convert to fraction form
    4,806.42/7,209.56 = 2,614.64/x
  3. Step 3: Cross multiply
    4,806.42x = 7,209.56 × 2,614.64
  4. Step 4: Simplify right side
    4,806.42x = 18,850,403.96
  5. Step 5: Solve for x
    x = 18,850,403.96/4,806.42
  6. Step 6: Final answer
    x = 3,921.92

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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.