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Finding the Fourth Proportional to 4,562.92, 6,843.03 and 1,965.25

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Solution

The fourth proportional to 4,562.92, 6,843.03 and 1,965.25 is: 2,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.92 : 6,843.03 = 1,965.25 : x
  2. Step 2: Convert to fraction form
    4,562.92/6,843.03 = 1,965.25/x
  3. Step 3: Cross multiply
    4,562.92x = 6,843.03 × 1,965.25
  4. Step 4: Simplify right side
    4,562.92x = 13,448,264.71
  5. Step 5: Solve for x
    x = 13,448,264.71/4,562.92
  6. Step 6: Final answer
    x = 2,947.29

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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.