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Finding the Fourth Proportional to 4,364.82, 6,513.08 and 3,839.94

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Solution

The fourth proportional to 4,364.82, 6,513.08 and 3,839.94 is: 5,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.82 : 6,513.08 = 3,839.94 : x
  2. Step 2: Convert to fraction form
    4,364.82/6,513.08 = 3,839.94/x
  3. Step 3: Cross multiply
    4,364.82x = 6,513.08 × 3,839.94
  4. Step 4: Simplify right side
    4,364.82x = 25,009,817.22
  5. Step 5: Solve for x
    x = 25,009,817.22/4,364.82
  6. Step 6: Final answer
    x = 5,729.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.