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Finding the Fourth Proportional to 4,546.83, 6,805.82 and 2,983.13

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Solution

The fourth proportional to 4,546.83, 6,805.82 and 2,983.13 is: 4,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.83 : 6,805.82 = 2,983.13 : x
  2. Step 2: Convert to fraction form
    4,546.83/6,805.82 = 2,983.13/x
  3. Step 3: Cross multiply
    4,546.83x = 6,805.82 × 2,983.13
  4. Step 4: Simplify right side
    4,546.83x = 20,302,644.77
  5. Step 5: Solve for x
    x = 20,302,644.77/4,546.83
  6. Step 6: Final answer
    x = 4,465.23

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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.