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Finding the Fourth Proportional to 4,863.84, 7,295.78 and 2,671.37

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Solution

The fourth proportional to 4,863.84, 7,295.78 and 2,671.37 is: 4,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.84 : 7,295.78 = 2,671.37 : x
  2. Step 2: Convert to fraction form
    4,863.84/7,295.78 = 2,671.37/x
  3. Step 3: Cross multiply
    4,863.84x = 7,295.78 × 2,671.37
  4. Step 4: Simplify right side
    4,863.84x = 19,489,727.82
  5. Step 5: Solve for x
    x = 19,489,727.82/4,863.84
  6. Step 6: Final answer
    x = 4,007.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.