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Finding the Fourth Proportional to 4,614.96, 6,910.56 and 3,437.76

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Solution

The fourth proportional to 4,614.96, 6,910.56 and 3,437.76 is: 5,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.96 : 6,910.56 = 3,437.76 : x
  2. Step 2: Convert to fraction form
    4,614.96/6,910.56 = 3,437.76/x
  3. Step 3: Cross multiply
    4,614.96x = 6,910.56 × 3,437.76
  4. Step 4: Simplify right side
    4,614.96x = 23,756,846.75
  5. Step 5: Solve for x
    x = 23,756,846.75/4,614.96
  6. Step 6: Final answer
    x = 5,147.79

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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.