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Finding the Fourth Proportional to 4,227.84, 5,834.16 and 2,364.96

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Solution

The fourth proportional to 4,227.84, 5,834.16 and 2,364.96 is: 3,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.84 : 5,834.16 = 2,364.96 : x
  2. Step 2: Convert to fraction form
    4,227.84/5,834.16 = 2,364.96/x
  3. Step 3: Cross multiply
    4,227.84x = 5,834.16 × 2,364.96
  4. Step 4: Simplify right side
    4,227.84x = 13,797,555.03
  5. Step 5: Solve for x
    x = 13,797,555.03/4,227.84
  6. Step 6: Final answer
    x = 3,263.50

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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.