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Finding the Fourth Proportional to 3,955.84, 5,934 and 2,426.56

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Solution

The fourth proportional to 3,955.84, 5,934 and 2,426.56 is: 3,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.84 : 5,934 = 2,426.56 : x
  2. Step 2: Convert to fraction form
    3,955.84/5,934 = 2,426.56/x
  3. Step 3: Cross multiply
    3,955.84x = 5,934 × 2,426.56
  4. Step 4: Simplify right side
    3,955.84x = 14,399,207.04
  5. Step 5: Solve for x
    x = 14,399,207.04/3,955.84
  6. Step 6: Final answer
    x = 3,639.99

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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.