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Finding the Fourth Proportional to 4,299.81, 5,932.94 and 2,411.43

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Solution

The fourth proportional to 4,299.81, 5,932.94 and 2,411.43 is: 3,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.81 : 5,932.94 = 2,411.43 : x
  2. Step 2: Convert to fraction form
    4,299.81/5,932.94 = 2,411.43/x
  3. Step 3: Cross multiply
    4,299.81x = 5,932.94 × 2,411.43
  4. Step 4: Simplify right side
    4,299.81x = 14,306,869.50
  5. Step 5: Solve for x
    x = 14,306,869.50/4,299.81
  6. Step 6: Final answer
    x = 3,327.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.