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Finding the Fourth Proportional to 4,596.78, 6,893.82 and 4,546.92

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Solution

The fourth proportional to 4,596.78, 6,893.82 and 4,546.92 is: 6,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.78 : 6,893.82 = 4,546.92 : x
  2. Step 2: Convert to fraction form
    4,596.78/6,893.82 = 4,546.92/x
  3. Step 3: Cross multiply
    4,596.78x = 6,893.82 × 4,546.92
  4. Step 4: Simplify right side
    4,596.78x = 31,345,648.03
  5. Step 5: Solve for x
    x = 31,345,648.03/4,596.78
  6. Step 6: Final answer
    x = 6,819.04

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