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Finding the Fourth Proportional to 4,952.85, 7,433.70 and 2,614.38

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Solution

The fourth proportional to 4,952.85, 7,433.70 and 2,614.38 is: 3,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.85 : 7,433.70 = 2,614.38 : x
  2. Step 2: Convert to fraction form
    4,952.85/7,433.70 = 2,614.38/x
  3. Step 3: Cross multiply
    4,952.85x = 7,433.70 × 2,614.38
  4. Step 4: Simplify right side
    4,952.85x = 19,434,516.61
  5. Step 5: Solve for x
    x = 19,434,516.61/4,952.85
  6. Step 6: Final answer
    x = 3,923.91

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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.