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Finding the Fourth Proportional to 4,614.67, 6,924.03 and 2,422.87

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Solution

The fourth proportional to 4,614.67, 6,924.03 and 2,422.87 is: 3,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.67 : 6,924.03 = 2,422.87 : x
  2. Step 2: Convert to fraction form
    4,614.67/6,924.03 = 2,422.87/x
  3. Step 3: Cross multiply
    4,614.67x = 6,924.03 × 2,422.87
  4. Step 4: Simplify right side
    4,614.67x = 16,776,024.57
  5. Step 5: Solve for x
    x = 16,776,024.57/4,614.67
  6. Step 6: Final answer
    x = 3,635.37

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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.