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Finding the Fourth Proportional to 4,803.84, 6,638.32 and 3,622.80

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Solution

The fourth proportional to 4,803.84, 6,638.32 and 3,622.80 is: 5,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.84 : 6,638.32 = 3,622.80 : x
  2. Step 2: Convert to fraction form
    4,803.84/6,638.32 = 3,622.80/x
  3. Step 3: Cross multiply
    4,803.84x = 6,638.32 × 3,622.80
  4. Step 4: Simplify right side
    4,803.84x = 24,049,305.70
  5. Step 5: Solve for x
    x = 24,049,305.70/4,803.84
  6. Step 6: Final answer
    x = 5,006.27

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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.