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Finding the Fourth Proportional to 4,524.57, 6,782.18 and 1,893.61

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Solution

The fourth proportional to 4,524.57, 6,782.18 and 1,893.61 is: 2,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.57 : 6,782.18 = 1,893.61 : x
  2. Step 2: Convert to fraction form
    4,524.57/6,782.18 = 1,893.61/x
  3. Step 3: Cross multiply
    4,524.57x = 6,782.18 × 1,893.61
  4. Step 4: Simplify right side
    4,524.57x = 12,842,791.65
  5. Step 5: Solve for x
    x = 12,842,791.65/4,524.57
  6. Step 6: Final answer
    x = 2,838.46

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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.