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Finding the Fourth Proportional to 4,803.84, 7,218.72 and 2,727

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Solution

The fourth proportional to 4,803.84, 7,218.72 and 2,727 is: 4,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.84 : 7,218.72 = 2,727 : x
  2. Step 2: Convert to fraction form
    4,803.84/7,218.72 = 2,727/x
  3. Step 3: Cross multiply
    4,803.84x = 7,218.72 × 2,727
  4. Step 4: Simplify right side
    4,803.84x = 19,685,449.44
  5. Step 5: Solve for x
    x = 19,685,449.44/4,803.84
  6. Step 6: Final answer
    x = 4,097.86

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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.