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Finding the Fourth Proportional to 4,803.94, 6,632.46 and 3,682.80

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Solution

The fourth proportional to 4,803.94, 6,632.46 and 3,682.80 is: 5,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.94 : 6,632.46 = 3,682.80 : x
  2. Step 2: Convert to fraction form
    4,803.94/6,632.46 = 3,682.80/x
  3. Step 3: Cross multiply
    4,803.94x = 6,632.46 × 3,682.80
  4. Step 4: Simplify right side
    4,803.94x = 24,425,990.53
  5. Step 5: Solve for x
    x = 24,425,990.53/4,803.94
  6. Step 6: Final answer
    x = 5,084.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.